# data-structure-typed ![npm](https://img.shields.io/npm/dm/data-structure-typed) ![GitHub contributors](https://img.shields.io/github/contributors/zrwusa/data-structure-typed) ![npm package minimized gzipped size (select exports)](https://img.shields.io/bundlejs/size/data-structure-typed) ![GitHub top language](https://img.shields.io/github/languages/top/zrwusa/data-structure-typed) ![GITHUB Star](https://img.shields.io/github/stars/zrwusa/data-structure-typed) ![eslint](https://aleen42.github.io/badges/src/eslint.svg) ![NPM](https://img.shields.io/npm/l/data-structure-typed) ![npm](https://img.shields.io/npm/v/data-structure-typed) [//]: # (![npm bundle size](https://img.shields.io/bundlephobia/min/data-structure-typed)) [//]: # (

English | 简体中文

) ## Installation and Usage ### npm ```bash npm i data-structure-typed --save ``` ### yarn ```bash yarn add data-structure-typed ``` ```js import { Heap, Graph, Queue, Deque, PriorityQueue, BST, Trie, DoublyLinkedList, AVLTree, SinglyLinkedList, DirectedGraph, RedBlackTree, TreeMultiMap, DirectedVertex, Stack, AVLTreeNode } from 'data-structure-typed'; ``` If you only want to use a specific data structure independently, you can install it separately, for example, by running ```bash npm i heap-typed --save ``` ## Why Do you envy C++ with [STL]() (std::), Python with [collections](), and Java with [java.util]() ? Well, no need to envy anymore! JavaScript and TypeScript now have [data-structure-typed]().**`Benchmark`** compared with C++ STL. **`API standards`** aligned with ES6 and Java. **`Usability`** is comparable to Python [//]: # (![Branches](https://img.shields.io/badge/branches-55.47%25-red.svg?style=flat)) [//]: # (![Statements](https://img.shields.io/badge/statements-67%25-red.svg?style=flat)) [//]: # (![Functions](https://img.shields.io/badge/functions-66.38%25-red.svg?style=flat)) [//]: # (![Lines](https://img.shields.io/badge/lines-68.6%25-red.svg?style=flat)) ### Performance Performance surpasses that of native JS/TS
Method Time Taken Data Scale Belongs To big O
Queue.push & shift 5.83 ms 100K Ours O(1)
Array.push & shift 2829.59 ms 100K Native JS O(n)
Deque.unshift & shift 2.44 ms 100K Ours O(1)
Array.unshift & shift 4750.37 ms 100K Native JS O(n)
HashMap.set 122.51 ms 1M Ours O(1)
Map.set 223.80 ms 1M Native JS O(1)
Set.add 185.06 ms 1M Native JS O(1)
### What are the differences
Data Structure Plain Language Definition Diagram
Linked List (Singly Linked List) A line of bunnies, where each bunny holds the tail of the bunny in front of it (each bunny only knows the name of the bunny behind it). You want to find a bunny named Pablo, and you have to start searching from the first bunny. If it's not Pablo, you continue following that bunny's tail to the next one. So, you might need to search n times to find Pablo (O(n) time complexity). If you want to insert a bunny named Remi between Pablo and Vicky, it's very simple. You just need to let Vicky release Pablo's tail, let Remi hold Pablo's tail, and then let Vicky hold Remi's tail (O(1) time complexity). singly linked list
Array A line of numbered bunnies. If you want to find the bunny named Pablo, you can directly shout out Pablo's number 0680 (finding the element directly through array indexing, O(1) time complexity). However, if you don't know Pablo's number, you still need to search one by one (O(n) time complexity). Moreover, if you want to add a bunny named Vicky behind Pablo, you will need to renumber all the bunnies after Vicky (O(n) time complexity). array
Queue A line of numbered bunnies with a sticky note on the first bunny. For this line with a sticky note on the first bunny, whenever we want to remove a bunny from the front of the line, we only need to move the sticky note to the face of the next bunny without actually removing the bunny to avoid renumbering all the bunnies behind (removing from the front is also O(1) time complexity). For the tail of the line, we don't need to worry because each new bunny added to the tail is directly given a new number (O(1) time complexity) without needing to renumber all the previous bunnies. queue
Deque A line of grouped, numbered bunnies with a sticky note on the first bunny. For this line, we manage it by groups. Each time we remove a bunny from the front of the line, we only move the sticky note to the next bunny. This way, we don't need to renumber all the bunnies behind the first bunny each time a bunny is removed. Only when all members of a group are removed do we reassign numbers and regroup. The tail is handled similarly. This is a strategy of delaying and batching operations to offset the drawbacks of the Array data structure that requires moving all elements behind when inserting or deleting elements in the middle. deque
Doubly Linked List A line of bunnies where each bunny holds the tail of the bunny in front (each bunny knows the names of the two adjacent bunnies). This provides the Singly Linked List the ability to search forward, and that's all. For example, if you directly come to the bunny Remi in the line and ask her where Vicky is, she will say the one holding my tail behind me, and if you ask her where Pablo is, she will say right in front. doubly linked list
Stack A line of bunnies in a dead-end tunnel, where bunnies can only be removed from the tunnel entrance (end), and new bunnies can only be added at the entrance (end) as well. stack
Binary Tree As the name suggests, it's a tree where each node has at most two children. When you add consecutive data such as [4, 2, 6, 1, 3, 5, 7], it will be a complete binary tree. When you add data like [4, 2, 6, null, 1, 3, null, 5, null, 7], you can specify whether any left or right child node is null, and the shape of the tree is fully controllable. binary tree
Binary Search Tree (BST) A bunny group in the form of a tree, where each bunny can grow at most 2 tails (Doubly Linked List). The most important data structure in a binary tree (the core is that the time complexity for insertion, deletion, modification, and search is O(log n)). The data stored in a BST is structured and ordered, not in strict order like 1, 2, 3, 4, 5, but maintaining that all nodes in the left subtree are less than the node, and all nodes in the right subtree are greater than the node. This order provides O(log n) time complexity for insertion, deletion, modification, and search. Reducing O(n) to O(log n) is the most common algorithm complexity optimization in the computer field, an exponential improvement in efficiency. It's also the most efficient way to organize unordered data into ordered data (most sorting algorithms only maintain O(n log n)). Of course, the binary search trees we provide support organizing data in both ascending and descending order. Remember that basic BSTs do not have self-balancing capabilities, and if you sequentially add sorted data to this data structure, it will degrade into a list, thus losing the O(log n) capability. Of course, our addMany method is specially handled to prevent degradation. However, for practical applications, please use Red-black Tree or AVL Tree as much as possible, as they inherently have self-balancing functions. binary search tree
Red-black Tree A self-balancing binary search tree. Each node is marked with a red-black label. Ensuring that no path is more than twice as long as any other (maintaining a certain balance to improve the speed of search, addition, and deletion). red-black tree
AVL Tree A self-balancing binary search tree. Each node is marked with a balance factor, representing the height difference between its left and right subtrees. The absolute value of the balance factor does not exceed 1 (maintaining stricter balance, which makes search efficiency higher than Red-black Tree, but insertion and deletion operations will be more complex and relatively less efficient). avl tree
Heap A special type of complete binary tree, often stored in an array, where the children nodes of the node at index i are at indices 2i+1 and 2i+2. Naturally, the parent node of any node is at ⌊(i−1)/2⌋. heap
Priority Queue It's actually a Heap. priority queue
Graph The base class for Directed Graph and Undirected Graph, providing some common methods. graph
Directed Graph A network-like bunny group where each bunny can have up to n tails (Singly Linked List). directed graph
Undirected Graph A network-like bunny group where each bunny can have up to n tails (Doubly Linked List). undirected graph
### Conciseness and uniformity In [java.utils](), you need to memorize a table for all sequential data structures(Queue, Deque, LinkedList),
Java ArrayList Java Queue Java ArrayDeque Java LinkedList
add offer push push
remove poll removeLast removeLast
remove poll removeFirst removeFirst
add(0, element) offerFirst unshift unshift
whereas in our [data-structure-typed](), you **only** need to remember four methods: `push`, `pop`, `shift`, and `unshift` for all sequential data structures(Queue, Deque, DoublyLinkedList, SinglyLinkedList and Array). ### Data structures available We provide data structures that are not available in JS/TS
Data Structure Unit Test Perf Test API Doc NPM Downloads
Binary Tree Docs NPM NPM Downloads
Binary Search Tree (BST) Docs NPM NPM Downloads
AVL Tree Docs NPM NPM Downloads
Red Black Tree Docs NPM NPM Downloads
Tree Multimap Docs NPM NPM Downloads
Heap Docs NPM NPM Downloads
Priority Queue Docs NPM NPM Downloads
Max Priority Queue Docs NPM NPM Downloads
Min Priority Queue Docs NPM NPM Downloads
Trie Docs NPM NPM Downloads
Graph Docs NPM NPM Downloads
Directed Graph Docs NPM NPM Downloads
Undirected Graph Docs NPM NPM Downloads
Queue Docs NPM NPM Downloads
Deque Docs NPM NPM Downloads
Hash Map Docs
Linked List Docs NPM NPM Downloads
Singly Linked List Docs NPM NPM Downloads
Doubly Linked List Docs NPM NPM Downloads
Stack Docs NPM NPM Downloads
Segment Tree Docs
Binary Indexed Tree Docs
## Vivid Examples ### AVL Tree [Try it out](https://vivid-algorithm.vercel.app/), or you can run your own code using our [visual tool](https://github.com/zrwusa/vivid-algorithm) ![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/avl-tree-test.webp) ### Tree Multi Map [Try it out](https://vivid-algorithm.vercel.app/) ![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/tree-multiset-test.webp) ### Directed Graph [Try it out](https://vivid-algorithm.vercel.app/algorithm/graph/) ![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/directed-graph-test.webp) ### Map Graph [Try it out](https://vivid-algorithm.vercel.app/algorithm/graph/) ![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/map-graph-test.webp) ## Code Snippets ### Red Black Tree snippet #### TS ```ts import { RedBlackTree } from 'data-structure-typed'; const rbTree = new RedBlackTree(); rbTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]) rbTree.isAVLBalanced(); // true rbTree.delete(10); rbTree.isAVLBalanced(); // true rbTree.print() // ___6________ // / \ // ___4_ ___11________ // / \ / \ // _2_ 5 _8_ ____14__ // / \ / \ / \ // 1 3 7 9 12__ 15__ // \ \ // 13 16 ``` #### JS ```js import { RedBlackTree } from 'data-structure-typed'; const rbTree = new RedBlackTree(); rbTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]) rbTree.isAVLBalanced(); // true rbTree.delete(10); rbTree.isAVLBalanced(); // true rbTree.print() // ___6________ // / \ // ___4_ ___11________ // / \ / \ // _2_ 5 _8_ ____14__ // / \ / \ / \ // 1 3 7 9 12__ 15__ // \ \ // 13 16 ``` ### Free conversion between data structures. ```js const orgArr = [6, 1, 2, 7, 5, 3, 4, 9, 8]; const orgStrArr = ["trie", "trial", "trick", "trip", "tree", "trend", "triangle", "track", "trace", "transmit"]; const entries = [[6, "6"], [1, "1"], [2, "2"], [7, "7"], [5, "5"], [3, "3"], [4, "4"], [9, "9"], [8, "8"]]; const queue = new Queue(orgArr); queue.print(); // [6, 1, 2, 7, 5, 3, 4, 9, 8] const deque = new Deque(orgArr); deque.print(); // [6, 1, 2, 7, 5, 3, 4, 9, 8] const sList = new SinglyLinkedList(orgArr); sList.print(); // [6, 1, 2, 7, 5, 3, 4, 9, 8] const dList = new DoublyLinkedList(orgArr); dList.print(); // [6, 1, 2, 7, 5, 3, 4, 9, 8] const stack = new Stack(orgArr); stack.print(); // [6, 1, 2, 7, 5, 3, 4, 9, 8] const minHeap = new MinHeap(orgArr); minHeap.print(); // [1, 5, 2, 7, 6, 3, 4, 9, 8] const maxPQ = new MaxPriorityQueue(orgArr); maxPQ.print(); // [9, 8, 4, 7, 5, 2, 3, 1, 6] const biTree = new BinaryTree(entries); biTree.print(); // ___6___ // / \ // ___1_ _2_ // / \ / \ // _7_ 5 3 4 // / \ // 9 8 const bst = new BST(entries); bst.print(); // _____5___ // / \ // _2_ _7_ // / \ / \ // 1 3_ 6 8_ // \ \ // 4 9 const rbTree = new RedBlackTree(entries); rbTree.print(); // ___4___ // / \ // _2_ _6___ // / \ / \ // 1 3 5 _8_ // / \ // 7 9 const avl = new AVLTree(entries); avl.print(); // ___4___ // / \ // _2_ _6___ // / \ / \ // 1 3 5 _8_ // / \ // 7 9 const treeMulti = new TreeMultiMap(entries); treeMulti.print(); // ___4___ // / \ // _2_ _6___ // / \ / \ // 1 3 5 _8_ // / \ // 7 9 const hm = new HashMap(entries); hm.print() // [[6, "6"], [1, "1"], [2, "2"], [7, "7"], [5, "5"], [3, "3"], [4, "4"], [9, "9"], [8, "8"]] const rbTreeH = new RedBlackTree(hm); rbTreeH.print(); // ___4___ // / \ // _2_ _6___ // / \ / \ // 1 3 5 _8_ // / \ // 7 9 const pq = new MinPriorityQueue(orgArr); pq.print(); // [1, 5, 2, 7, 6, 3, 4, 9, 8] const bst1 = new BST(pq); bst1.print(); // _____5___ // / \ // _2_ _7_ // / \ / \ // 1 3_ 6 8_ // \ \ // 4 9 const dq1 = new Deque(orgArr); dq1.print(); // [6, 1, 2, 7, 5, 3, 4, 9, 8] const rbTree1 = new RedBlackTree(dq1); rbTree1.print(); // _____5___ // / \ // _2___ _7___ // / \ / \ // 1 _4 6 _9 // / / // 3 8 const trie2 = new Trie(orgStrArr); trie2.print(); // ['trie', 'trial', 'triangle', 'trick', 'trip', 'tree', 'trend', 'track', 'trace', 'transmit'] const heap2 = new Heap(trie2, { comparator: (a, b) => Number(a) - Number(b) }); heap2.print(); // ['transmit', 'trace', 'tree', 'trend', 'track', 'trial', 'trip', 'trie', 'trick', 'triangle'] const dq2 = new Deque(heap2); dq2.print(); // ['transmit', 'trace', 'tree', 'trend', 'track', 'trial', 'trip', 'trie', 'trick', 'triangle'] const entries2 = dq2.map((el, i) => [i, el]); const avl2 = new AVLTree(entries2); avl2.print(); // ___3_______ // / \ // _1_ ___7_ // / \ / \ // 0 2 _5_ 8_ // / \ \ // 4 6 9 ``` ### Binary Search Tree (BST) snippet ```ts import { BST, BSTNode } from 'data-structure-typed'; const bst = new BST(); bst.add(11); bst.add(3); bst.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]); bst.size === 16; // true bst.has(6); // true const node6 = bst.getNode(6); // BSTNode bst.getHeight(6) === 2; // true bst.getHeight() === 5; // true bst.getDepth(6) === 3; // true bst.getLeftMost()?.key === 1; // true bst.delete(6); bst.get(6); // undefined bst.isAVLBalanced(); // true bst.bfs()[0] === 11; // true bst.print() // ______________11_____ // / \ // ___3_______ _13_____ // / \ / \ // 1_ _____8____ 12 _15__ // \ / \ / \ // 2 4_ _10 14 16 // \ / // 5_ 9 // \ // 7 const objBST = new BST(); objBST.add(11, { "name": "Pablo", "age": 15 }); objBST.add(3, { "name": "Kirk", "age": 1 }); objBST.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5], [ { "name": "Alice", "age": 15 }, { "name": "Bob", "age": 1 }, { "name": "Charlie", "age": 8 }, { "name": "David", "age": 13 }, { "name": "Emma", "age": 16 }, { "name": "Frank", "age": 2 }, { "name": "Grace", "age": 6 }, { "name": "Hannah", "age": 9 }, { "name": "Isaac", "age": 12 }, { "name": "Jack", "age": 14 }, { "name": "Katie", "age": 4 }, { "name": "Liam", "age": 7 }, { "name": "Mia", "age": 10 }, { "name": "Noah", "age": 5 } ] ); objBST.delete(11); ``` ### AVLTree snippet ```ts import { AVLTree } from 'data-structure-typed'; const avlTree = new AVLTree(); avlTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]) avlTree.isAVLBalanced(); // true avlTree.delete(10); avlTree.isAVLBalanced(); // true ``` ### Directed Graph simple snippet ```ts import { DirectedGraph } from 'data-structure-typed'; const graph = new DirectedGraph(); graph.addVertex('A'); graph.addVertex('B'); graph.hasVertex('A'); // true graph.hasVertex('B'); // true graph.hasVertex('C'); // false graph.addEdge('A', 'B'); graph.hasEdge('A', 'B'); // true graph.hasEdge('B', 'A'); // false graph.deleteEdgeSrcToDest('A', 'B'); graph.hasEdge('A', 'B'); // false graph.addVertex('C'); graph.addEdge('A', 'B'); graph.addEdge('B', 'C'); const topologicalOrderKeys = graph.topologicalSort(); // ['A', 'B', 'C'] ``` ### Undirected Graph snippet ```ts import { UndirectedGraph } from 'data-structure-typed'; const graph = new UndirectedGraph(); graph.addVertex('A'); graph.addVertex('B'); graph.addVertex('C'); graph.addVertex('D'); graph.deleteVertex('C'); graph.addEdge('A', 'B'); graph.addEdge('B', 'D'); const dijkstraResult = graph.dijkstra('A'); Array.from(dijkstraResult?.seen ?? []).map(vertex => vertex.key) // ['A', 'B', 'D'] ``` ## API docs & Examples [API Docs](https://data-structure-typed-docs.vercel.app) [Live Examples](https://vivid-algorithm.vercel.app) Examples Repository ## Benchmark MacBook Pro (15-inch, 2018) Processor 2.2 GHz 6-Core Intel Core i7 Memory 16 GB 2400 MHz DDR4 Graphics Radeon Pro 555X 4 GB Intel UHD Graphics 630 1536 MB macOS Big Sur Version 11.7.9 [//]: # (No deletion!!! Start of Replace Section)
heap
test nametime taken (ms)executions per secsample deviation
100,000 add6.09164.121.35e-4
100,000 add & poll34.5528.946.43e-4
rb-tree
test nametime taken (ms)executions per secsample deviation
100,000 add76.7313.030.00
100,000 add randomly80.6712.400.00
100,000 get110.869.020.00
100,000 iterator24.9940.020.00
100,000 add & delete orderly152.666.550.00
100,000 add & delete randomly230.754.330.00
queue
test nametime taken (ms)executions per secsample deviation
1,000,000 push39.2725.460.01
100,000 push & shift4.53220.814.84e-4
Native JS Array 100,000 push & shift1948.050.510.02
deque
test nametime taken (ms)executions per secsample deviation
1,000,000 push23.2243.060.00
1,000,000 push & pop29.6833.690.00
1,000,000 push & shift29.3334.090.00
100,000 push & shift3.10323.012.47e-4
Native JS Array 100,000 push & shift1942.120.510.02
100,000 unshift & shift2.77360.502.43e-4
Native JS Array 100,000 unshift & shift3835.210.260.03
hash-map
test nametime taken (ms)executions per secsample deviation
1,000,000 set112.388.900.02
Native JS Map 1,000,000 set199.975.000.01
Native JS Set 1,000,000 add163.346.120.01
1,000,000 set & get109.869.100.02
Native JS Map 1,000,000 set & get255.333.920.00
Native JS Set 1,000,000 add & has163.916.100.00
1,000,000 ObjKey set & get317.893.150.04
Native JS Map 1,000,000 ObjKey set & get282.993.530.03
Native JS Set 1,000,000 ObjKey add & has253.933.940.03
trie
test nametime taken (ms)executions per secsample deviation
100,000 push43.7122.887.33e-4
100,000 getWords83.6311.960.00
avl-tree
test nametime taken (ms)executions per secsample deviation
100,000 add271.933.680.01
100,000 add randomly318.273.140.00
100,000 get128.857.760.00
100,000 iterator29.0934.380.00
100,000 add & delete orderly435.482.307.44e-4
100,000 add & delete randomly578.701.730.00
binary-tree-overall
test nametime taken (ms)executions per secsample deviation
10,000 RBTree add randomly6.69149.541.06e-4
10,000 RBTree get randomly9.19108.821.43e-4
10,000 RBTree add & delete randomly18.5453.941.73e-4
10,000 AVLTree add randomly23.7042.201.88e-4
10,000 AVLTree get randomly9.89101.110.00
10,000 AVLTree add & delete randomly44.4422.504.30e-4
directed-graph
test nametime taken (ms)executions per secsample deviation
1,000 addVertex0.109766.659.83e-7
1,000 addEdge6.15162.577.99e-4
1,000 getVertex0.052.18e+44.52e-7
1,000 getEdge22.7044.060.00
tarjan203.004.930.01
topologicalSort176.405.670.00
doubly-linked-list
test nametime taken (ms)executions per secsample deviation
1,000,000 push222.024.500.07
1,000,000 unshift220.414.540.05
1,000,000 unshift & shift185.315.400.01
1,000,000 addBefore317.203.150.07
singly-linked-list
test nametime taken (ms)executions per secsample deviation
1,000,000 push & shift204.824.880.09
10,000 push & pop221.884.510.03
10,000 addBefore247.284.040.01
priority-queue
test nametime taken (ms)executions per secsample deviation
100,000 add26.9737.087.97e-4
100,000 add & poll74.5513.415.19e-4
stack
test nametime taken (ms)executions per secsample deviation
1,000,000 push35.5428.140.00
1,000,000 push & pop44.8922.270.01
[//]: # (No deletion!!! End of Replace Section) ## The corresponding relationships between data structures in different language standard libraries.
Data Structure Typed C++ STL java.util Python collections
Heap<E> - - heapq
PriorityQueue<E> priority_queue<T> PriorityQueue<E> -
Deque<E> deque<T> ArrayDeque<E> deque
Queue<E> queue<T> Queue<E> -
HashMap<K, V> unordered_map<K, V> HashMap<K, V> defaultdict
DoublyLinkedList<E> list<T> LinkedList<E> -
SinglyLinkedList<E> - - -
BinaryTree<K, V> - - -
BST<K, V> - - -
RedBlackTree<E> set<T> TreeSet<E> -
RedBlackTree<K, V> map<K, V> TreeMap<K, V> -
TreeMultiMap<K, V> multimap<K, V> - -
TreeMultiMap<E> multiset<T> - -
Trie - - -
DirectedGraph<V, E> - - -
UndirectedGraph<V, E> - - -
PriorityQueue<E> priority_queue<T> PriorityQueue<E> -
Array<E> vector<T> ArrayList<E> list
Stack<E> stack<T> Stack<E> -
HashMap<E> unordered_set<T> HashSet<E> set
- unordered_multiset - Counter
LinkedHashMap<K, V> - LinkedHashMap<K, V> OrderedDict
- unordered_multimap<K, V> - -
- bitset<N> - -
## Built-in classic algorithms
Algorithm Function Description Iteration Type
Binary Tree DFS Traverse a binary tree in a depth-first manner, starting from the root node, first visiting the left subtree, and then the right subtree, using recursion. Recursion + Iteration
Binary Tree BFS Traverse a binary tree in a breadth-first manner, starting from the root node, visiting nodes level by level from left to right. Iteration
Graph DFS Traverse a graph in a depth-first manner, starting from a given node, exploring along one path as deeply as possible, and backtracking to explore other paths. Used for finding connected components, paths, etc. Recursion + Iteration
Binary Tree Morris Morris traversal is an in-order traversal algorithm for binary trees with O(1) space complexity. It allows tree traversal without additional stack or recursion. Iteration
Graph BFS Traverse a graph in a breadth-first manner, starting from a given node, first visiting nodes directly connected to the starting node, and then expanding level by level. Used for finding shortest paths, etc. Recursion + Iteration
Graph Tarjan's Algorithm Find strongly connected components in a graph, typically implemented using depth-first search. Recursion
Graph Bellman-Ford Algorithm Finding the shortest paths from a single source, can handle negative weight edges Iteration
Graph Dijkstra's Algorithm Finding the shortest paths from a single source, cannot handle negative weight edges Iteration
Graph Floyd-Warshall Algorithm Finding the shortest paths between all pairs of nodes Iteration
Graph getCycles Find all cycles in a graph or detect the presence of cycles. Recursion
Graph getCutVertices Find cut vertices in a graph, which are nodes that, when removed, increase the number of connected components in the graph. Recursion
Graph getSCCs Find strongly connected components in a graph, which are subgraphs where any two nodes can reach each other. Recursion
Graph getBridges Find bridges in a graph, which are edges that, when removed, increase the number of connected components in the graph. Recursion
Graph topologicalSort Perform topological sorting on a directed acyclic graph (DAG) to find a linear order of nodes such that all directed edges go from earlier nodes to later nodes. Recursion
## Software Engineering Design Standards We strictly adhere to computer science theory and software development standards. Our LinkedList is designed in the traditional sense of the LinkedList data structure, and we refrain from substituting it with a Deque solely for the purpose of showcasing performance test data. However, we have also implemented a Deque based on a dynamic array concurrently.
Principle Description
Practicality Follows ES6 and ESNext standards, offering unified and considerate optional parameters, and simplifies method names.
Extensibility Adheres to OOP (Object-Oriented Programming) principles, allowing inheritance for all data structures.
Modularization Includes data structure modularization and independent NPM packages.
Efficiency All methods provide time and space complexity, comparable to native JS performance.
Maintainability Follows open-source community development standards, complete documentation, continuous integration, and adheres to TDD (Test-Driven Development) patterns.
Testability Automated and customized unit testing, performance testing, and integration testing.
Portability Plans for porting to Java, Python, and C++, currently achieved to 80%.
Reusability Fully decoupled, minimized side effects, and adheres to OOP.
Security Carefully designed security for member variables and methods. Read-write separation. Data structure software does not need to consider other security aspects.
Scalability Data structure software does not involve load issues.
## supported module system Now you can use it in Node.js and browser environments CommonJS:**`require export.modules =`** ESModule:   **`import export`** Typescript:   **`import export`** UMD:           **`var Deque = dataStructureTyped.Deque`** ### CDN Copy the line below into the head tag in an HTML document. #### development ```html ``` #### production ```html ``` Copy the code below into the script tag of your HTML, and you're good to go with your development. ```js const { Heap } = dataStructureTyped; const { BinaryTree, Graph, Queue, Stack, PriorityQueue, BST, Trie, DoublyLinkedList, AVLTree, MinHeap, SinglyLinkedList, DirectedGraph, TreeMultiMap, DirectedVertex, AVLTreeNode } = dataStructureTyped; ```