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<!DOCTYPE html><html class="default" lang="en"><head><meta charSet="utf-8"/><meta http-equiv="x-ua-compatible" content="IE=edge"/><title>AbstractGraph | data-structure-typed</title><meta name="description" content="Documentation for data-structure-typed"/><meta name="viewport" content="width=device-width, initial-scale=1"/><link rel="stylesheet" href="../assets/style.css"/><link rel="stylesheet" href="../assets/highlight.css"/><script defer src="../assets/main.js"></script><script async src="../assets/search.js" id="tsd-search-script"></script></head><body><script>document.documentElement.dataset.theme = localStorage.getItem("tsd-theme") || "os"</script><header class="tsd-page-toolbar">
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<h1>Class AbstractGraph&lt;V, E&gt;<code class="tsd-tag ts-flagAbstract">Abstract</code> </h1></div>
<section class="tsd-panel">
<h4>Type Parameters</h4>
<ul class="tsd-type-parameter-list">
<li>
<h4><span class="tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol"> extends </span><a href="AbstractVertex.html" class="tsd-signature-type tsd-kind-class">AbstractVertex</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">&gt;</span> = <a href="AbstractVertex.html" class="tsd-signature-type tsd-kind-class">AbstractVertex</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">&gt;</span></h4></li>
<li>
<h4><span class="tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol"> extends </span><a href="AbstractEdge.html" class="tsd-signature-type tsd-kind-class">AbstractEdge</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">&gt;</span> = <a href="AbstractEdge.html" class="tsd-signature-type tsd-kind-class">AbstractEdge</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">&gt;</span></h4></li></ul></section>
<section class="tsd-panel tsd-hierarchy">
<h4>Hierarchy</h4>
<ul class="tsd-hierarchy">
<li><span class="target">AbstractGraph</span>
<ul class="tsd-hierarchy">
<li><a href="DirectedGraph.html" class="tsd-signature-type tsd-kind-class">DirectedGraph</a></li>
<li><a href="UndirectedGraph.html" class="tsd-signature-type tsd-kind-class">UndirectedGraph</a></li></ul></li></ul></section>
<section class="tsd-panel">
<h4>Implements</h4>
<ul class="tsd-hierarchy">
<li><a href="../interfaces/IAbstractGraph.html" class="tsd-signature-type tsd-kind-interface">IAbstractGraph</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">&gt;</span></li></ul></section><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L104">src/data-structures/graph/abstract-graph.ts:104</a></li></ul></aside>
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<details class="tsd-index-content tsd-index-accordion" open><summary class="tsd-accordion-summary tsd-index-summary">
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<div class="tsd-accordion-details">
<section class="tsd-index-section">
<h3 class="tsd-index-heading">Constructors</h3>
<div class="tsd-index-list"><a href="AbstractGraph.html#constructor" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><g id="icon-512"><rect fill="var(--color-icon-background)" stroke="#4D7FFF" stroke-width="1.5" x="1" y="1" width="22" height="22" rx="12"></rect><path d="M11.898 16.1201C11.098 16.1201 10.466 15.8961 10.002 15.4481C9.53803 15.0001 9.30603 14.3841 9.30603 13.6001V9.64012C9.30603 8.85612 9.53803 8.24012 10.002 7.79212C10.466 7.34412 11.098 7.12012 11.898 7.12012C12.682 7.12012 13.306 7.34812 13.77 7.80412C14.234 8.25212 14.466 8.86412 14.466 9.64012H13.386C13.386 9.14412 13.254 8.76412 12.99 8.50012C12.734 8.22812 12.37 8.09212 11.898 8.09212C11.426 8.09212 11.054 8.22412 10.782 8.48812C10.518 8.75212 10.386 9.13212 10.386 9.62812V13.6001C10.386 14.0961 10.518 14.4801 10.782 14.7521C11.054 15.0161 11.426 15.1481 11.898 15.1481C12.37 15.1481 12.734 15.0161 12.99 14.7521C13.254 14.4801 13.386 14.0961 13.386 13.6001H14.466C14.466 14.3761 14.234 14.9921 13.77 15.4481C13.306 15.8961 12.682 16.1201 11.898 16.1201Z" fill="var(--color-text)"></path></g></svg><span>constructor</span></a>
</div></section>
<section class="tsd-index-section">
<h3 class="tsd-index-heading">Properties</h3>
<div class="tsd-index-list"><a href="AbstractGraph.html#_vertices" class="tsd-index-link tsd-is-private"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><g id="icon-1024"><rect fill="var(--color-icon-background)" stroke="#FF984D" stroke-width="1.5" x="1" y="1" width="22" height="22" rx="12"></rect><path d="M9.354 16V7.24H12.174C12.99 7.24 13.638 7.476 14.118 7.948C14.606 8.412 14.85 9.036 14.85 9.82C14.85 10.604 14.606 11.232 14.118 11.704C13.638 12.168 12.99 12.4 12.174 12.4H10.434V16H9.354ZM10.434 11.428H12.174C12.646 11.428 13.022 11.284 13.302 10.996C13.59 10.7 13.734 10.308 13.734 9.82C13.734 9.324 13.59 8.932 13.302 8.644C13.022 8.356 12.646 8.212 12.174 8.212H10.434V11.428Z" fill="var(--color-text)"></path></g></svg><span>_vertices</span></a>
</div></section>
<section class="tsd-index-section">
<h3 class="tsd-index-heading">Accessors</h3>
<div class="tsd-index-list"><a href="AbstractGraph.html#vertices" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><g id="icon-262144"><rect fill="var(--color-icon-background)" stroke="#FF4D4D" stroke-width="1.5" x="1" y="1" width="22" height="22" rx="12"></rect><path d="M8.85 16L11.13 7.24H12.582L14.85 16H13.758L13.182 13.672H10.53L9.954 16H8.85ZM10.746 12.76H12.954L12.282 10.06C12.154 9.548 12.054 9.12 11.982 8.776C11.91 8.432 11.866 8.208 11.85 8.104C11.834 8.208 11.79 8.432 11.718 8.776C11.646 9.12 11.546 9.544 11.418 10.048L10.746 12.76Z" fill="var(--color-text)"></path></g></svg><span>vertices</span></a>
</div></section>
<section class="tsd-index-section">
<h3 class="tsd-index-heading">Methods</h3>
<div class="tsd-index-list"><a href="AbstractGraph.html#_addEdgeOnly" class="tsd-index-link tsd-is-protected"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><g id="icon-2048"><rect fill="var(--color-icon-background)" stroke="#FF4DB8" stroke-width="1.5" x="1" y="1" width="22" height="22" rx="12"></rect><path d="M9.162 16V7.24H10.578L11.514 10.072C11.602 10.328 11.674 10.584 11.73 10.84C11.794 11.088 11.842 11.28 11.874 11.416C11.906 11.28 11.954 11.088 12.018 10.84C12.082 10.584 12.154 10.324 12.234 10.06L13.122 7.24H14.538V16H13.482V12.82C13.482 12.468 13.49 12.068 13.506 11.62C13.53 11.172 13.558 10.716 13.59 10.252C13.622 9.78 13.654 9.332 13.686 8.908C13.726 8.476 13.762 8.1 13.794 7.78L12.366 12.16H11.334L9.894 7.78C9.934 8.092 9.97 8.456 10.002 8.872C10.042 9.28 10.078 9.716 10.11 10.18C10.142 10.636 10.166 11.092 10.182 11.548C10.206 12.004 10.218 12.428 10.218 12.82V16H9.162Z" fill="var(--color-text)"></path></g></svg><span>_add<wbr/>Edge<wbr/>Only</span></a>
<a href="AbstractGraph.html#_addVertexOnly" class="tsd-index-link tsd-is-protected"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>_add<wbr/>Vertex<wbr/>Only</span></a>
<a href="AbstractGraph.html#_getVertex" class="tsd-index-link tsd-is-protected"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>_get<wbr/>Vertex</span></a>
<a href="AbstractGraph.html#_getVertexId" class="tsd-index-link tsd-is-protected"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>_get<wbr/>Vertex<wbr/>Id</span></a>
<a href="AbstractGraph.html#_setVertices" class="tsd-index-link tsd-is-protected"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>_set<wbr/>Vertices</span></a>
<a href="AbstractGraph.html#addEdge" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>add<wbr/>Edge</span></a>
<a href="AbstractGraph.html#addVertex" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>add<wbr/>Vertex</span></a>
<a href="AbstractGraph.html#bellmanFord" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>bellman<wbr/>Ford</span></a>
<a href="AbstractGraph.html#createEdge" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>create<wbr/>Edge</span></a>
<a href="AbstractGraph.html#createVertex" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>create<wbr/>Vertex</span></a>
<a href="AbstractGraph.html#degreeOf" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>degree<wbr/>Of</span></a>
<a href="AbstractGraph.html#dijkstra" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>dijkstra</span></a>
<a href="AbstractGraph.html#dijkstraWithoutHeap" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>dijkstra<wbr/>Without<wbr/>Heap</span></a>
<a href="AbstractGraph.html#edgeSet" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>edge<wbr/>Set</span></a>
<a href="AbstractGraph.html#edgesOf" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>edges<wbr/>Of</span></a>
<a href="AbstractGraph.html#floyd" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>floyd</span></a>
<a href="AbstractGraph.html#getAllPathsBetween" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>All<wbr/>Paths<wbr/>Between</span></a>
<a href="AbstractGraph.html#getEdge" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Edge</span></a>
<a href="AbstractGraph.html#getEndsOfEdge" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Ends<wbr/>Of<wbr/>Edge</span></a>
<a href="AbstractGraph.html#getMinCostBetween" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Min<wbr/>Cost<wbr/>Between</span></a>
<a href="AbstractGraph.html#getMinPathBetween" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Min<wbr/>Path<wbr/>Between</span></a>
<a href="AbstractGraph.html#getNeighbors" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Neighbors</span></a>
<a href="AbstractGraph.html#getPathSumWeight" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Path<wbr/>Sum<wbr/>Weight</span></a>
<a href="AbstractGraph.html#getVertex" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>get<wbr/>Vertex</span></a>
<a href="AbstractGraph.html#hasEdge" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>has<wbr/>Edge</span></a>
<a href="AbstractGraph.html#hasVertex" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>has<wbr/>Vertex</span></a>
<a href="AbstractGraph.html#removeAllVertices" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>remove<wbr/>All<wbr/>Vertices</span></a>
<a href="AbstractGraph.html#removeEdge" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>remove<wbr/>Edge</span></a>
<a href="AbstractGraph.html#removeVertex" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>remove<wbr/>Vertex</span></a>
<a href="AbstractGraph.html#setEdgeWeight" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>set<wbr/>Edge<wbr/>Weight</span></a>
<a href="AbstractGraph.html#tarjan" class="tsd-index-link"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-2048"></use></svg><span>tarjan</span></a>
</div></section></div></details></section></section>
<section class="tsd-panel-group tsd-member-group">
<h2>Constructors</h2>
<section class="tsd-panel tsd-member"><a id="constructor" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>constructor</span><a href="#constructor" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><g stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round" id="icon-anchor"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M10 14a3.5 3.5 0 0 0 5 0l4 -4a3.5 3.5 0 0 0 -5 -5l-.5 .5"></path><path d="M14 10a3.5 3.5 0 0 0 -5 0l-4 4a3.5 3.5 0 0 0 5 5l.5 -.5"></path></g></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="constructor.new_AbstractGraph"><span class="tsd-kind-constructor-signature">new <wbr/>Abstract<wbr/>Graph</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">(</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><a href="AbstractGraph.html" class="tsd-signature-type tsd-kind-class">AbstractGraph</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">&gt;</span><a href="#constructor.new_AbstractGraph" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<section class="tsd-panel">
<h4>Type Parameters</h4>
<ul class="tsd-type-parameter-list">
<li>
<h4><span class="tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol"> extends </span><a href="AbstractVertex.html" class="tsd-signature-type tsd-kind-class">AbstractVertex</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span> = <a href="AbstractVertex.html" class="tsd-signature-type tsd-kind-class">AbstractVertex</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">&gt;</span></h4></li>
<li>
<h4><span class="tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol"> extends </span><a href="AbstractEdge.html" class="tsd-signature-type tsd-kind-class">AbstractEdge</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">&gt;</span> = <a href="AbstractEdge.html" class="tsd-signature-type tsd-kind-class">AbstractEdge</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">any</span><span class="tsd-signature-symbol">&gt;</span></h4></li></ul></section>
<h4 class="tsd-returns-title">Returns <a href="AbstractGraph.html" class="tsd-signature-type tsd-kind-class">AbstractGraph</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">&gt;</span></h4></li></ul></section></section>
<section class="tsd-panel-group tsd-member-group">
<h2>Properties</h2>
<section class="tsd-panel tsd-member tsd-is-private"><a id="_vertices" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagPrivate">Private</code> <span>_vertices</span><a href="#_vertices" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<div class="tsd-signature"><span class="tsd-kind-property">_vertices</span><span class="tsd-signature-symbol">:</span> <span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol"> = ...</span></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L109">src/data-structures/graph/abstract-graph.ts:109</a></li></ul></aside></section></section>
<section class="tsd-panel-group tsd-member-group">
<h2>Accessors</h2>
<section class="tsd-panel tsd-member"><a id="vertices" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>vertices</span><a href="#vertices" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature" id="vertices.vertices-1"><span class="tsd-signature-symbol">get</span> vertices<span class="tsd-signature-symbol">(</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span></li>
<li class="tsd-description">
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L111">src/data-structures/graph/abstract-graph.ts:111</a></li></ul></aside></li></ul></section></section>
<section class="tsd-panel-group tsd-member-group">
<h2>Methods</h2>
<section class="tsd-panel tsd-member tsd-is-protected"><a id="_addEdgeOnly" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagProtected">Protected</code> <code class="tsd-tag ts-flagAbstract">Abstract</code> <span>_add<wbr/>Edge<wbr/>Only</span><a href="#_addEdgeOnly" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures tsd-is-protected">
<li class="tsd-signature tsd-anchor-link" id="_addEdgeOnly._addEdgeOnly-1"><span class="tsd-kind-call-signature">_add<wbr/>Edge<wbr/>Only</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">edge</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#_addEdgeOnly._addEdgeOnly-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">edge</span>: <span class="tsd-signature-type tsd-kind-type-parameter">E</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L1017">src/data-structures/graph/abstract-graph.ts:1017</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member tsd-is-protected"><a id="_addVertexOnly" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagProtected">Protected</code> <span>_add<wbr/>Vertex<wbr/>Only</span><a href="#_addVertexOnly" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures tsd-is-protected">
<li class="tsd-signature tsd-anchor-link" id="_addVertexOnly._addVertexOnly-1"><span class="tsd-kind-call-signature">_add<wbr/>Vertex<wbr/>Only</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">newVertex</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#_addVertexOnly._addVertexOnly-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">newVertex</span>: <span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L1019">src/data-structures/graph/abstract-graph.ts:1019</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member tsd-is-protected"><a id="_getVertex" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagProtected">Protected</code> <span>_get<wbr/>Vertex</span><a href="#_getVertex" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures tsd-is-protected">
<li class="tsd-signature tsd-anchor-link" id="_getVertex._getVertex-1"><span class="tsd-kind-call-signature">_get<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><a href="#_getVertex._getVertex-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L1028">src/data-structures/graph/abstract-graph.ts:1028</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member tsd-is-protected"><a id="_getVertexId" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagProtected">Protected</code> <span>_get<wbr/>Vertex<wbr/>Id</span><a href="#_getVertexId" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures tsd-is-protected">
<li class="tsd-signature tsd-anchor-link" id="_getVertexId._getVertexId-1"><span class="tsd-kind-call-signature">_get<wbr/>Vertex<wbr/>Id</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><a href="#_getVertexId._getVertexId-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L1033">src/data-structures/graph/abstract-graph.ts:1033</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member tsd-is-protected"><a id="_setVertices" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagProtected">Protected</code> <span>_set<wbr/>Vertices</span><a href="#_setVertices" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures tsd-is-protected">
<li class="tsd-signature tsd-anchor-link" id="_setVertices._setVertices-1"><span class="tsd-kind-call-signature">_set<wbr/>Vertices</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">value</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">void</span><a href="#_setVertices._setVertices-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">value</span>: <span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">void</span></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L1037">src/data-structures/graph/abstract-graph.ts:1037</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="addEdge" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>add<wbr/>Edge</span><a href="#addEdge" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="addEdge.addEdge-1"><span class="tsd-kind-call-signature">add<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">edge</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#addEdge.addEdge-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">edge</span>: <span class="tsd-signature-type tsd-kind-type-parameter">E</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#addEdge">addEdge</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L220">src/data-structures/graph/abstract-graph.ts:220</a></li></ul></aside></li>
<li class="tsd-signature tsd-anchor-link" id="addEdge.addEdge-2"><span class="tsd-kind-call-signature">add<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">src</span>, <span class="tsd-kind-parameter">dest</span>, <span class="tsd-kind-parameter">weight</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">val</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#addEdge.addEdge-2" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">src</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li>
<li>
<h5><span class="tsd-kind-parameter">dest</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">weight</span>: <span class="tsd-signature-type">number</span></h5></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">val</span>: <span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[</span><span class="tsd-signature-type">&quot;val&quot;</span><span class="tsd-signature-symbol">]</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><aside class="tsd-sources">
<p>Implementation of IAbstractGraph.addEdge</p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L222">src/data-structures/graph/abstract-graph.ts:222</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="addVertex" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>add<wbr/>Vertex</span><a href="#addVertex" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="addVertex.addVertex-1"><span class="tsd-kind-call-signature">add<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertex</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#addVertex.addVertex-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertex</span>: <span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#addVertex">addVertex</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L168">src/data-structures/graph/abstract-graph.ts:168</a></li></ul></aside></li>
<li class="tsd-signature tsd-anchor-link" id="addVertex.addVertex-2"><span class="tsd-kind-call-signature">add<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">id</span>, <span class="tsd-kind-parameter">val</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#addVertex.addVertex-2" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">id</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a></h5></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">val</span>: <span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[</span><span class="tsd-signature-type">&quot;val&quot;</span><span class="tsd-signature-symbol">]</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><aside class="tsd-sources">
<p>Implementation of IAbstractGraph.addVertex</p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L170">src/data-structures/graph/abstract-graph.ts:170</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="bellmanFord" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>bellman<wbr/>Ford</span><a href="#bellmanFord" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="bellmanFord.bellmanFord-1"><span class="tsd-kind-call-signature">bellman<wbr/>Ford</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">src</span>, <span class="tsd-kind-parameter">scanNegativeCycle</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">getMin</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">genPath</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-symbol">{ </span><br/><span>    </span><span class="tsd-kind-property">distMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">hasNegativeCycle</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">undefined</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type">boolean</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">min</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">minPath</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">paths</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">preMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span class="tsd-signature-symbol">}</span><a href="#bellmanFord.bellmanFord-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>BellmanFord time:O(VE) space:O(V)
one to rest pairs
/</p>
<p>/**
BellmanFord time:O(VE) space:O(V)
one to rest pairs
The Bellman-Ford algorithm is also used to find the shortest paths from a source node to all other nodes in a graph. Unlike Dijkstra&#39;s algorithm, it can handle edge weights that are negative. Its basic idea involves iterative relaxation of all edges for several rounds to gradually approximate the shortest paths. Due to its ability to handle negative-weight edges, the Bellman-Ford algorithm is more flexible in some scenarios.
The <code>bellmanFord</code> function implements the Bellman-Ford algorithm to find the shortest path from a source vertex to
all other vertices in a graph, and optionally detects negative cycles and generates the minimum path.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">src</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>src</code> parameter is the source vertex from which the Bellman-Ford algorithm will
start calculating the shortest paths. It can be either a vertex object or a vertex ID.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">scanNegativeCycle</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean flag indicating whether to scan for negative cycles in the graph.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">getMin</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>getMin</code> parameter is a boolean flag that determines whether the algorithm should
calculate the minimum distance from the source vertex to all other vertices in the graph. If <code>getMin</code> is set to
<code>true</code>, the algorithm will find the minimum distance and update the <code>min</code> variable with the minimum</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">genPath</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean flag indicating whether to generate paths for all vertices from the source
vertex.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-symbol">{ </span><br/><span>    </span><span class="tsd-kind-property">distMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">hasNegativeCycle</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">undefined</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type">boolean</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">min</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">minPath</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">paths</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">preMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span class="tsd-signature-symbol">}</span></h4><p>The function <code>bellmanFord</code> returns an object with the following properties:</p>
<ul class="tsd-parameters">
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">dist<wbr/>Map</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">has<wbr/>Negative<wbr/>Cycle</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">undefined</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type">boolean</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">min</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">min<wbr/>Path</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">paths</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">pre<wbr/>Map</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span></h5></li></ul>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L725">src/data-structures/graph/abstract-graph.ts:725</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="createEdge" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>create<wbr/>Edge</span><a href="#createEdge" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="createEdge.createEdge-1"><span class="tsd-kind-call-signature">create<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">srcOrV1</span>, <span class="tsd-kind-parameter">destOrV2</span>, <span class="tsd-kind-parameter">weight</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">val</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><a href="#createEdge.createEdge-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>In TypeScript, a subclass inherits the interface implementation of its parent class, without needing to implement the same interface again in the subclass. This behavior differs from Java&#39;s approach. In Java, if a parent class implements an interface, the subclass needs to explicitly implement the same interface, even if the parent class has already implemented it.
This means that using abstract methods in the parent class cannot constrain the grandchild classes. Defining methods within an interface also cannot constrain the descendant classes. When inheriting from this class, developers need to be aware that this method needs to be overridden.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">srcOrV1</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a></h5>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">destOrV2</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a></h5>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">weight</span>: <span class="tsd-signature-type">number</span></h5>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">val</span>: <span class="tsd-signature-type tsd-kind-type-parameter">E</span></h5>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type tsd-kind-type-parameter">E</span></h4>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L131">src/data-structures/graph/abstract-graph.ts:131</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="createVertex" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>create<wbr/>Vertex</span><a href="#createVertex" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="createVertex.createVertex-1"><span class="tsd-kind-call-signature">create<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">id</span>, <span class="tsd-kind-parameter">val</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><a href="#createVertex.createVertex-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>In TypeScript, a subclass inherits the interface implementation of its parent class, without needing to implement the same interface again in the subclass. This behavior differs from Java&#39;s approach. In Java, if a parent class implements an interface, the subclass needs to explicitly implement the same interface, even if the parent class has already implemented it.
This means that using abstract methods in the parent class cannot constrain the grandchild classes. Defining methods within an interface also cannot constrain the descendant classes. When inheriting from this class, developers need to be aware that this method needs to be overridden.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">id</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a></h5>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">val</span>: <span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type tsd-kind-type-parameter">V</span></h4>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L121">src/data-structures/graph/abstract-graph.ts:121</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="degreeOf" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>degree<wbr/>Of</span><a href="#degreeOf" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="degreeOf.degreeOf-1"><span class="tsd-kind-call-signature">degree<wbr/>Of</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><a href="#degreeOf.degreeOf-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">number</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#degreeOf">degreeOf</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L137">src/data-structures/graph/abstract-graph.ts:137</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="dijkstra" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>dijkstra</span><a href="#dijkstra" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="dijkstra.dijkstra-1"><span class="tsd-kind-call-signature">dijkstra</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">src</span>, <span class="tsd-kind-parameter">dest</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">getMinDist</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">genPaths</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><a href="../types/DijkstraResult.html" class="tsd-signature-type tsd-kind-type-alias">DijkstraResult</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span><a href="#dijkstra.dijkstra-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>Dijkstra algorithm time: O(logVE) space: O(V + E)</p>
<p>Dijkstra&#39;s algorithm only solves the single-source shortest path problem, while the Bellman-Ford algorithm and Floyd-Warshall algorithm can address shortest paths between all pairs of nodes.
Dijkstra&#39;s algorithm is suitable for graphs with non-negative edge weights, whereas the Bellman-Ford algorithm and Floyd-Warshall algorithm can handle negative-weight edges.
The time complexity of Dijkstra&#39;s algorithm and the Bellman-Ford algorithm depends on the size of the graph, while the time complexity of the Floyd-Warshall algorithm is O(V^3), where V is the number of nodes. For dense graphs, Floyd-Warshall might become slower.</p>
<p>/</p>
<p>/**
Dijkstra&#39;s algorithm is used to find the shortest paths from a source node to all other nodes in a graph. Its basic idea is to repeatedly choose the node closest to the source node and update the distances of other nodes using this node as an intermediary. Dijkstra&#39;s algorithm requires that the edge weights in the graph are non-negative.
The <code>dijkstra</code> function implements Dijkstra&#39;s algorithm to find the shortest path between a source vertex and an
optional destination vertex, and optionally returns the minimum distance, the paths, and other information.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">src</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>src</code> parameter represents the source vertex from which the Dijkstra algorithm will
start. It can be either a vertex object or a vertex ID.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">dest</span>: <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>dest</code> parameter is the destination vertex or vertex ID. It specifies the
vertex to which the shortest path is calculated from the source vertex. If no destination is provided, the algorithm
will calculate the shortest paths to all other vertices from the source vertex.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">getMinDist</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>getMinDist</code> parameter is a boolean flag that determines whether the minimum
distance from the source vertex to the destination vertex should be calculated and returned in the result. If
<code>getMinDist</code> is set to <code>true</code>, the <code>minDist</code> property in the result will contain the minimum distance</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">genPaths</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>genPaths</code> parameter is a boolean flag that determines whether or not to generate
paths in the Dijkstra algorithm. If <code>genPaths</code> is set to <code>true</code>, the algorithm will calculate and return the
shortest paths from the source vertex to all other vertices in the graph. If <code>genPaths @returns The function </code>dijkstra<code>returns an object of type</code>DijkstraResult<V>`.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <a href="../types/DijkstraResult.html" class="tsd-signature-type tsd-kind-type-alias">DijkstraResult</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span></h4>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L596">src/data-structures/graph/abstract-graph.ts:596</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="dijkstraWithoutHeap" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>dijkstra<wbr/>Without<wbr/>Heap</span><a href="#dijkstraWithoutHeap" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="dijkstraWithoutHeap.dijkstraWithoutHeap-1"><span class="tsd-kind-call-signature">dijkstra<wbr/>Without<wbr/>Heap</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">src</span>, <span class="tsd-kind-parameter">dest</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">getMinDist</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">genPaths</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><a href="../types/DijkstraResult.html" class="tsd-signature-type tsd-kind-type-alias">DijkstraResult</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span><a href="#dijkstraWithoutHeap.dijkstraWithoutHeap-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>Dijkstra algorithm time: O(VE) space: O(V + E)
/</p>
<p>/**
Dijkstra algorithm time: O(VE) space: O(V + E)
The function <code>dijkstraWithoutHeap</code> implements Dijkstra&#39;s algorithm to find the shortest path between two vertices in
a graph without using a heap data structure.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">src</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The source vertex from which to start the Dijkstra&#39;s algorithm. It can be either a
vertex object or a vertex ID.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">dest</span>: <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>dest</code> parameter in the <code>dijkstraWithoutHeap</code> function is an optional
parameter that specifies the destination vertex for the Dijkstra algorithm. It can be either a vertex object or its
identifier. If no destination is provided, the value is set to <code>null</code>.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">getMinDist</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>getMinDist</code> parameter is a boolean flag that determines whether the minimum
distance from the source vertex to the destination vertex should be calculated and returned in the result. If
<code>getMinDist</code> is set to <code>true</code>, the <code>minDist</code> property in the result will contain the minimum distance</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">genPaths</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>genPaths</code> parameter is a boolean flag that determines whether or not to generate
paths in the Dijkstra algorithm. If <code>genPaths</code> is set to <code>true</code>, the algorithm will calculate and return the
shortest paths from the source vertex to all other vertices in the graph. If <code>genPaths @returns The function </code>dijkstraWithoutHeap<code>returns an object of type</code>DijkstraResult<V>`.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <a href="../types/DijkstraResult.html" class="tsd-signature-type tsd-kind-type-alias">DijkstraResult</a><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">&gt;</span></h4>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L456">src/data-structures/graph/abstract-graph.ts:456</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="edgeSet" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>edge<wbr/>Set</span><a href="#edgeSet" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="edgeSet.edgeSet-1"><span class="tsd-kind-call-signature">edge<wbr/>Set</span><span class="tsd-signature-symbol">(</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span><a href="#edgeSet.edgeSet-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#edgeSet">edgeSet</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L139">src/data-structures/graph/abstract-graph.ts:139</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="edgesOf" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>edges<wbr/>Of</span><a href="#edgesOf" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="edgesOf.edgesOf-1"><span class="tsd-kind-call-signature">edges<wbr/>Of</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span><a href="#edgesOf.edgesOf-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#edgesOf">edgesOf</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L141">src/data-structures/graph/abstract-graph.ts:141</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="floyd" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>floyd</span><a href="#floyd" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="floyd.floyd-1"><span class="tsd-kind-call-signature">floyd</span><span class="tsd-signature-symbol">(</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-symbol">{ </span><br/><span>    </span><span class="tsd-kind-property">costs</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">predecessor</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-symbol">(</span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span class="tsd-signature-symbol">}</span><a href="#floyd.floyd-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>Floyd algorithm time: O(V^3) space: O(V^2), not support graph with negative weight cycle
all pairs
/</p>
<p>/**
Floyd algorithm time: O(V^3) space: O(V^2), not support graph with negative weight cycle
all pairs
The Floyd-Warshall algorithm is used to find the shortest paths between all pairs of nodes in a graph. It employs dynamic programming to compute the shortest paths from any node to any other node. The Floyd-Warshall algorithm&#39;s advantage lies in its ability to handle graphs with negative-weight edges, and it can simultaneously compute shortest paths between any two nodes.
The function implements the Floyd-Warshall algorithm to find the shortest path between all pairs of vertices in a
graph.</p>
</div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-symbol">{ </span><br/><span>    </span><span class="tsd-kind-property">costs</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">predecessor</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-symbol">(</span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span class="tsd-signature-symbol">}</span></h4><p>The function <code>floyd()</code> returns an object with two properties: <code>costs</code> and <code>predecessor</code>. The <code>costs</code>
property is a 2D array of numbers representing the shortest path costs between vertices in a graph. The
<code>predecessor</code> property is a 2D array of vertices (or <code>null</code>) representing the predecessor vertices in the shortest
path between vertices in the</p>
<ul class="tsd-parameters">
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">costs</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">predecessor</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-symbol">(</span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span></h5></li></ul>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L851">src/data-structures/graph/abstract-graph.ts:851</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getAllPathsBetween" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>get<wbr/>All<wbr/>Paths<wbr/>Between</span><a href="#getAllPathsBetween" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getAllPathsBetween.getAllPathsBetween-1"><span class="tsd-kind-call-signature">get<wbr/>All<wbr/>Paths<wbr/>Between</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">v1</span>, <span class="tsd-kind-parameter">v2</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span><a href="#getAllPathsBetween.getAllPathsBetween-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function <code>getAllPathsBetween</code> finds all paths between two vertices in a graph using depth-first search.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">v1</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>v1</code> represents either a vertex object (<code>V</code>) or a vertex ID (<code>VertexId</code>).
It is the starting vertex for finding paths.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">v2</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>v2</code> represents either a vertex object (<code>V</code>) or a vertex ID (<code>VertexId</code>).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">[]</span></h4><p>The function <code>getAllPathsBetween</code> returns an array of arrays of vertices (<code>V[][]</code>).</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L268">src/data-structures/graph/abstract-graph.ts:268</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getEdge" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>get<wbr/>Edge</span><a href="#getEdge" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getEdge.getEdge-1"><span class="tsd-kind-call-signature">get<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">srcOrId</span>, <span class="tsd-kind-parameter">destOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><a href="#getEdge.getEdge-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">srcOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li>
<li>
<h5><span class="tsd-kind-parameter">destOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#getEdge">getEdge</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L135">src/data-structures/graph/abstract-graph.ts:135</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getEndsOfEdge" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>get<wbr/>Ends<wbr/>Of<wbr/>Edge</span><a href="#getEndsOfEdge" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getEndsOfEdge.getEndsOfEdge-1"><span class="tsd-kind-call-signature">get<wbr/>Ends<wbr/>Of<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">edge</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-symbol">[</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">]</span><a href="#getEndsOfEdge.getEndsOfEdge-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">edge</span>: <span class="tsd-signature-type tsd-kind-type-parameter">E</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-symbol">[</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">]</span></h4><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L145">src/data-structures/graph/abstract-graph.ts:145</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getMinCostBetween" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>get<wbr/>Min<wbr/>Cost<wbr/>Between</span><a href="#getMinCostBetween" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getMinCostBetween.getMinCostBetween-1"><span class="tsd-kind-call-signature">get<wbr/>Min<wbr/>Cost<wbr/>Between</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">v1</span>, <span class="tsd-kind-parameter">v2</span>, <span class="tsd-kind-parameter">isWeight</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type">number</span><a href="#getMinCostBetween.getMinCostBetween-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function <code>getMinCostBetween</code> calculates the minimum cost between two vertices in a graph, either based on edge
weights or using a breadth-first search algorithm.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">v1</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>v1</code> represents the starting vertex or its ID.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">v2</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>v2</code> represents the destination vertex or its ID. It is the vertex to which
you want to find the minimum cost or weight from the source vertex <code>v1</code>.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">isWeight</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>isWeight is an optional parameter that indicates whether the graph edges have weights.
If isWeight is set to true, the function will calculate the minimum cost between v1 and v2 based on the weights of
the edges. If isWeight is set to false or not provided, the function will calculate the</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type">number</span></h4><p>The function <code>getMinCostBetween</code> returns a number representing the minimum cost between two vertices (<code>v1</code>
and <code>v2</code>). If the <code>isWeight</code> parameter is <code>true</code>, it calculates the minimum weight among all paths between the
vertices. If <code>isWeight</code> is <code>false</code> or not provided, it uses a breadth-first search (BFS) algorithm to calculate the
minimum number of</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L326">src/data-structures/graph/abstract-graph.ts:326</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getMinPathBetween" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>get<wbr/>Min<wbr/>Path<wbr/>Between</span><a href="#getMinPathBetween" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getMinPathBetween.getMinPathBetween-1"><span class="tsd-kind-call-signature">get<wbr/>Min<wbr/>Path<wbr/>Between</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">v1</span>, <span class="tsd-kind-parameter">v2</span>, <span class="tsd-kind-parameter">isWeight</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><a href="#getMinPathBetween.getMinPathBetween-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function <code>getMinPathBetween</code> returns the minimum path between two vertices in a graph, either based on weight or
using a breadth-first search algorithm.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">v1</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>v1</code> represents the starting vertex of the path. It can be either a vertex
object (<code>V</code>) or a vertex ID (<code>VertexId</code>).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">v2</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>V | VertexId - The second vertex or vertex ID between which we want to find the minimum
path.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">isWeight</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean flag indicating whether to consider the weight of edges in finding the
minimum path. If set to true, the function will use Dijkstra&#39;s algorithm to find the minimum weighted path. If set
to false, the function will use breadth-first search (BFS) to find the minimum path.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span></h4><p>The function <code>getMinPathBetween</code> returns an array of vertices (<code>V[]</code>) representing the minimum path between
two vertices (<code>v1</code> and <code>v2</code>). If there is no path between the vertices, it returns <code>null</code>.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#getMinPathBetween">getMinPathBetween</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L384">src/data-structures/graph/abstract-graph.ts:384</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getNeighbors" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>get<wbr/>Neighbors</span><a href="#getNeighbors" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getNeighbors.getNeighbors-1"><span class="tsd-kind-call-signature">get<wbr/>Neighbors</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><a href="#getNeighbors.getNeighbors-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#getNeighbors">getNeighbors</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L143">src/data-structures/graph/abstract-graph.ts:143</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getPathSumWeight" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>get<wbr/>Path<wbr/>Sum<wbr/>Weight</span><a href="#getPathSumWeight" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getPathSumWeight.getPathSumWeight-1"><span class="tsd-kind-call-signature">get<wbr/>Path<wbr/>Sum<wbr/>Weight</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">path</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">number</span><a href="#getPathSumWeight.getPathSumWeight-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function calculates the sum of weights along a given path.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">path</span>: <span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span></h5>
<div class="tsd-comment tsd-typography"><p>An array of vertices (V) representing a path in a graph.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">number</span></h4><p>The function <code>getPathSumWeight</code> returns the sum of the weights of the edges in the given path.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L304">src/data-structures/graph/abstract-graph.ts:304</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="getVertex" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>get<wbr/>Vertex</span><a href="#getVertex" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="getVertex.getVertex-1"><span class="tsd-kind-call-signature">get<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><a href="#getVertex.getVertex-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function &quot;getVertex&quot; returns the vertex with the specified ID or null if it doesn&#39;t exist.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a></h5>
<div class="tsd-comment tsd-typography"><p>The <code>vertexId</code> parameter is the identifier of the vertex that you want to retrieve from
the <code>_vertices</code> map.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h4><p>The method <code>getVertex</code> returns the vertex with the specified <code>vertexId</code> if it exists in the <code>_vertices</code>
map. If the vertex does not exist, it returns <code>null</code>.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L154">src/data-structures/graph/abstract-graph.ts:154</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="hasEdge" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>has<wbr/>Edge</span><a href="#hasEdge" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="hasEdge.hasEdge-1"><span class="tsd-kind-call-signature">has<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">v1</span>, <span class="tsd-kind-parameter">v2</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#hasEdge.hasEdge-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function checks if there is an edge between two vertices and returns a boolean value indicating the result.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">v1</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter v1 can be either a VertexId or a V. A VertexId represents the unique
identifier of a vertex in a graph, while V represents the type of the vertex object itself.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">v2</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>v2</code> represents the second vertex in the edge. It can be either a
<code>VertexId</code> or a <code>V</code> type, which represents the type of the vertex.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><p>A boolean value is being returned.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#hasEdge">hasEdge</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L215">src/data-structures/graph/abstract-graph.ts:215</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="hasVertex" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>has<wbr/>Vertex</span><a href="#hasVertex" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="hasVertex.hasVertex-1"><span class="tsd-kind-call-signature">has<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#hasVertex.hasVertex-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function checks if a vertex exists in a graph.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>vertexOrId</code> can be either a vertex object (<code>V</code>) or a vertex ID
(<code>VertexId</code>).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><p>a boolean value.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#hasVertex">hasVertex</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L164">src/data-structures/graph/abstract-graph.ts:164</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="removeAllVertices" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>remove<wbr/>All<wbr/>Vertices</span><a href="#removeAllVertices" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="removeAllVertices.removeAllVertices-1"><span class="tsd-kind-call-signature">remove<wbr/>All<wbr/>Vertices</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertices</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#removeAllVertices.removeAllVertices-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function removes all vertices from a graph and returns a boolean indicating if any vertices were removed.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertices</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>vertices</code> parameter can be either an array of vertices (<code>V[]</code>) or an array
of vertex IDs (<code>VertexId[]</code>).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><p>a boolean value. It returns true if at least one vertex was successfully removed, and false if no vertices
were removed.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#removeAllVertices">removeAllVertices</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L199">src/data-structures/graph/abstract-graph.ts:199</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="removeEdge" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><code class="tsd-tag ts-flagAbstract">Abstract</code> <span>remove<wbr/>Edge</span><a href="#removeEdge" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="removeEdge.removeEdge-1"><span class="tsd-kind-call-signature">remove<wbr/>Edge</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">edge</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><a href="#removeEdge.removeEdge-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">edge</span>: <span class="tsd-signature-type tsd-kind-type-parameter">E</span></h5></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">null</span><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span></h4><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#removeEdge">removeEdge</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L133">src/data-structures/graph/abstract-graph.ts:133</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="removeVertex" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>remove<wbr/>Vertex</span><a href="#removeVertex" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="removeVertex.removeVertex-1"><span class="tsd-kind-call-signature">remove<wbr/>Vertex</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">vertexOrId</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#removeVertex.removeVertex-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The <code>removeVertex</code> function removes a vertex from a graph by its ID or by the vertex object itself.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">vertexOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The parameter <code>vertexOrId</code> can be either a vertex object (<code>V</code>) or a vertex ID
(<code>VertexId</code>).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><p>The method is returning a boolean value.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#removeVertex">removeVertex</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L187">src/data-structures/graph/abstract-graph.ts:187</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="setEdgeWeight" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>set<wbr/>Edge<wbr/>Weight</span><a href="#setEdgeWeight" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="setEdgeWeight.setEdgeWeight-1"><span class="tsd-kind-call-signature">set<wbr/>Edge<wbr/>Weight</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">srcOrId</span>, <span class="tsd-kind-parameter">destOrId</span>, <span class="tsd-kind-parameter">weight</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">boolean</span><a href="#setEdgeWeight.setEdgeWeight-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>The function sets the weight of an edge between two vertices in a graph.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><span class="tsd-kind-parameter">srcOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>srcOrId</code> parameter can be either a <code>VertexId</code> or a <code>V</code> object. It represents
the source vertex of the edge.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">destOrId</span>: <a href="../types/VertexId.html" class="tsd-signature-type tsd-kind-type-alias">VertexId</a><span class="tsd-signature-symbol"> | </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span></h5>
<div class="tsd-comment tsd-typography"><p>The <code>destOrId</code> parameter represents the destination vertex of the edge. It can be
either a <code>VertexId</code> or a vertex object <code>V</code>.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><span class="tsd-kind-parameter">weight</span>: <span class="tsd-signature-type">number</span></h5>
<div class="tsd-comment tsd-typography"><p>The weight parameter represents the weight of the edge between the source vertex (srcOrId)
and the destination vertex (destOrId).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">boolean</span></h4><p>a boolean value. If the edge exists between the source and destination vertices, the function will update
the weight of the edge and return true. If the edge does not exist, the function will return false.</p>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<p>Implementation of <a href="../interfaces/IAbstractGraph.html">IAbstractGraph</a>.<a href="../interfaces/IAbstractGraph.html#setEdgeWeight">setEdgeWeight</a></p>
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L251">src/data-structures/graph/abstract-graph.ts:251</a></li></ul></aside></li></ul></section>
<section class="tsd-panel tsd-member"><a id="tarjan" class="tsd-anchor"></a>
<h3 class="tsd-anchor-link"><span>tarjan</span><a href="#tarjan" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></h3>
<ul class="tsd-signatures">
<li class="tsd-signature tsd-anchor-link" id="tarjan.tarjan-1"><span class="tsd-kind-call-signature">tarjan</span><span class="tsd-signature-symbol">(</span><span class="tsd-kind-parameter">needArticulationPoints</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">needBridges</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">needSCCs</span><span class="tsd-signature-symbol">?</span>, <span class="tsd-kind-parameter">needCycles</span><span class="tsd-signature-symbol">?</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-symbol">{ </span><br/><span>    </span><span class="tsd-kind-property">SCCs</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">articulationPoints</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">bridges</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">cycles</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">dfnMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">lowMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span class="tsd-signature-symbol">}</span><a href="#tarjan.tarjan-1" aria-label="Permalink" class="tsd-anchor-icon"><svg viewBox="0 0 24 24"><use href="#icon-anchor"></use></svg></a></li>
<li class="tsd-description">
<div class="tsd-comment tsd-typography"><p>Tarjan is an algorithm based on DFS,which is used to solve the connectivity problem of graphs.
Tarjan can find cycles in directed or undirected graph
Tarjan can find the articulation points and bridges(critical edges) of undirected graphs in linear time,
Tarjan solve the bi-connected components of undirected graphs;
Tarjan can find the SSC(strongly connected components), articulation points, and bridges of directed graphs.
/</p>
<p>/**
Tarjan is an algorithm based on DFS,which is used to solve the connectivity problem of graphs.
Tarjan can find cycles in directed or undirected graph
Tarjan can find the articulation points and bridges(critical edges) of undirected graphs in linear time,
Tarjan solve the bi-connected components of undirected graphs;
Tarjan can find the SSC(strongly connected components), articulation points, and bridges of directed graphs.
The <code>tarjan</code> function is used to perform various graph analysis tasks such as finding articulation points, bridges,
strongly connected components (SCCs), and cycles in a graph.</p>
</div>
<div class="tsd-parameters">
<h4 class="tsd-parameters-title">Parameters</h4>
<ul class="tsd-parameter-list">
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">needArticulationPoints</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean value indicating whether or not to calculate and return the
articulation points in the graph. Articulation points are the vertices in a graph whose removal would increase the
number of connected components in the graph.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">needBridges</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean flag indicating whether the algorithm should find and return the bridges
(edges whose removal would increase the number of connected components in the graph).</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">needSCCs</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean value indicating whether the Strongly Connected Components (SCCs) of the
graph are needed. If set to true, the function will calculate and return the SCCs of the graph. If set to false, the
SCCs will not be calculated or returned.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li>
<li>
<h5><code class="tsd-tag ts-flagOptional">Optional</code> <span class="tsd-kind-parameter">needCycles</span>: <span class="tsd-signature-type">boolean</span></h5>
<div class="tsd-comment tsd-typography"><p>A boolean flag indicating whether the algorithm should find cycles in the graph. If
set to true, the algorithm will return a map of cycles, where the keys are the low values of the SCCs and the values
are arrays of vertices that form cycles within the SCCs.</p>
</div>
<div class="tsd-comment tsd-typography"></div></li></ul></div>
<h4 class="tsd-returns-title">Returns <span class="tsd-signature-symbol">{ </span><br/><span>    </span><span class="tsd-kind-property">SCCs</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">articulationPoints</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">bridges</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">cycles</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">dfnMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span>    </span><span class="tsd-kind-property">lowMap</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span><span class="tsd-signature-symbol">; </span><br/><span class="tsd-signature-symbol">}</span></h4><p>The function <code>tarjan</code> returns an object with the following properties:</p>
<ul class="tsd-parameters">
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">SCCs</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">&gt;</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">articulation<wbr/>Points</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">bridges</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type tsd-kind-type-parameter">E</span><span class="tsd-signature-symbol">[]</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">cycles</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">[]</span><span class="tsd-signature-symbol">&gt;</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">dfn<wbr/>Map</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span></h5></li>
<li class="tsd-parameter">
<h5><span class="tsd-kind-property">low<wbr/>Map</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type ">Map</span><span class="tsd-signature-symbol">&lt;</span><span class="tsd-signature-type tsd-kind-type-parameter">V</span><span class="tsd-signature-symbol">, </span><span class="tsd-signature-type">number</span><span class="tsd-signature-symbol">&gt;</span></h5></li></ul>
<div class="tsd-comment tsd-typography"></div><aside class="tsd-sources">
<ul>
<li>Defined in <a href="https://github.com/zrwusa/data-structure-typed/blob/08484f9/src/data-structures/graph/abstract-graph.ts#L915">src/data-structures/graph/abstract-graph.ts:915</a></li></ul></aside></li></ul></section></section></div>
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<li><a href="../variables/THUNK_SYMBOL.html"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><g id="icon-32"><rect fill="var(--color-icon-background)" stroke="var(--color-ts-variable)" stroke-width="1.5" x="1" y="1" width="22" height="22" rx="6"></rect><path d="M11.106 16L8.85 7.24H9.966L11.454 13.192C11.558 13.608 11.646 13.996 11.718 14.356C11.79 14.708 11.842 14.976 11.874 15.16C11.906 14.976 11.954 14.708 12.018 14.356C12.09 13.996 12.178 13.608 12.282 13.192L13.758 7.24H14.85L12.582 16H11.106Z" fill="var(--color-text)"></path></g></svg><span>THUNK_<wbr/>SYMBOL</span></a></li>
<li><a href="../functions/arrayRemove.html"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><g id="icon-64"><rect fill="var(--color-icon-background)" stroke="var(--color-ts-function)" stroke-width="1.5" x="1" y="1" width="22" height="22" rx="6"></rect><path d="M9.39 16V7.24H14.55V8.224H10.446V11.128H14.238V12.112H10.47V16H9.39Z" fill="var(--color-text)"></path></g></svg><span>array<wbr/>Remove</span></a></li>
<li><a href="../functions/isThunk.html"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-64"></use></svg><span>is<wbr/>Thunk</span></a></li>
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<li><a href="../functions/trampoline.html"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-64"></use></svg><span>trampoline</span></a></li>
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