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feat: add bfs and dfs for JS and TS (#377)
* add bfs and dfs for JS and TS * update the type * Apply suggestions from code review Co-authored-by: Justin Tse <xiefahit@gmail.com> * Update graph_dfs.ts * Update graph_bfs.ts * Update graph_dfs.ts * Update graph_bfs.ts * Update graph_dfs.js * Update graph_bfs.js --------- Co-authored-by: steak-zhuo <zhuoqinyue@gmail.com> Co-authored-by: Yudong Jin <krahets@163.com> Co-authored-by: Justin Tse <xiefahit@gmail.com>
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zhuoqinyue
54
codes/javascript/chapter_graph/graph_bfs.js
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54
codes/javascript/chapter_graph/graph_bfs.js
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/**
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* File: graph_bfs.js
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* Created Time: 2023-02-21
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* Author: Zhuo Qinyue (1403450829@qq.com)
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*/
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const { GraphAdjList } = require('./graph_adjacency_list');
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const { Vertex } = require('../include/Vertex');
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/* 广度优先遍历 BFS */
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// 使用邻接表来表示图，以便获取指定顶点的所有邻接顶点
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const graphBfs = (graph, startVet) => {
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// 顶点遍历序列
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const res = [];
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// 哈希表，用于记录已被访问过的顶点
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const visited = new Set();
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visited.add(startVet);
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// 队列用于实现 BFS
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const que = [startVet];
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// 以顶点 vet 为起点，循环直至访问完所有顶点
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while (que.length) {
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const vet = que.shift(); // 队首顶点出队
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res.push(vet); // 记录访问顶点
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// 遍历该顶点的所有邻接顶点
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for (const adjVet of graph.adjList.get(vet) ?? []) {
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if (visited.has(adjVet)) {
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continue; // 跳过已被访问过的顶点
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}
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que.push(adjVet); // 只入队未访问的顶点
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visited.add(adjVet); // 标记该顶点已被访问
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}
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}
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// 返回顶点遍历序列
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return res;
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}
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/* Driver Code */
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/* 初始化无向图 */
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const v = Vertex.valsToVets([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]);
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const edges = [[v[0], v[1]], [v[0], v[3]], [v[1], v[2]], [v[1], v[4]],
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[v[2], v[5]], [v[3], v[4]], [v[3], v[6]], [v[4], v[5]],
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[v[4], v[7]], [v[5], v[8]], [v[6], v[7]], [v[7], v[8]]];
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const graph = new GraphAdjList(edges);
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console.log("\n初始化后，图为");
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graph.print();
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/* 广度优先遍历 BFS */
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const res = graphBfs(graph, v[0]);
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console.log("\n广度优先遍历（BFS）顶点序列为");
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console.log(Vertex.vetsToVals(res));
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50
codes/javascript/chapter_graph/graph_dfs.js
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50
codes/javascript/chapter_graph/graph_dfs.js
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/**
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* File: graph_dfs.js
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* Created Time: 2023-02-21
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* Author: Zhuo Qinyue (1403450829@qq.com)
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*/
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const { Vertex } = require('../include/Vertex');
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const { GraphAdjList } = require('./graph_adjacency_list');
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/* 深度优先遍历 DFS */
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// 使用邻接表来表示图，以便获取指定顶点的所有邻接顶点
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const dfs = (graph, visited, res, vet) => {
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res.push(vet); // 记录访问顶点
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visited.add(vet); // 标记该顶点已被访问
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// 遍历该顶点的所有邻接顶点
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for (const adjVet of graph.adjList.get(vet)) {
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if (visited.has(adjVet)) {
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continue; // 跳过已被访问过的顶点
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}
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// 递归访问邻接顶点
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dfs(graph, visited, res, adjVet);
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}
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}
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/* 深度优先遍历 DFS */
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// 使用邻接表来表示图，以便获取指定顶点的所有邻接顶点
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const graphDFS = (graph, startVet) => {
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// 顶点遍历序列
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const res = [];
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// 哈希表，用于记录已被访问过的顶点
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const visited = new Set();
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dfs(graph, visited, res, startVet);
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return res;
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}
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/* Driver Code */
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/* 初始化无向图 */
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const v = Vertex.valsToVets([0, 1, 2, 3, 4, 5, 6]);
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const edges = [[v[0], v[1]], [v[0], v[3]], [v[1], v[2]],
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[v[2], v[5]], [v[4], v[5]], [v[5], v[6]]];
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const graph = new GraphAdjList(edges);
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console.log("\n初始化后，图为");
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graph.print();
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/* 深度优先遍历 DFS */
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const res = graphDFS(graph, v[0]);
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console.log("\n深度优先遍历（DFS）顶点序列为");
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console.log(Vertex.vetsToVals(res));
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52
codes/typescript/chapter_graph/graph_bfs.ts
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52
codes/typescript/chapter_graph/graph_bfs.ts
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/**
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* File: graph_bfs.ts
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* Created Time: 2023-02-21
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* Author: Zhuo Qinyue (1403450829@qq.com)
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*/
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import { GraphAdjList } from './graph_adjacency_list'
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import { Vertex } from '../module/Vertex';
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/* 广度优先遍历 BFS */
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// 使用邻接表来表示图，以便获取指定顶点的所有邻接顶点
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const graphBfs = (graph: GraphAdjList, startVet: Vertex): Vertex[] => {
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// 顶点遍历序列
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const res: Vertex[] = [];
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// 哈希表，用于记录已被访问过的顶点
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const visited: Set<Vertex> = new Set();
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visited.add(startVet);
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// 队列用于实现 BFS
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const que = [startVet];
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// 以顶点 vet 为起点，循环直至访问完所有顶点
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while (que.length) {
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const vet = que.shift(); // 队首顶点出队
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res.push(vet); // 记录访问顶点
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// 遍历该顶点的所有邻接顶点
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for (const adjVet of graph.adjList.get(vet) ?? []) {
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if (visited.has(adjVet)) {
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continue; // 跳过已被访问过的顶点
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}
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que.push(adjVet); // 只入队未访问
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visited.add(adjVet); // 标记该顶点已被访问
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}
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}
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// 返回顶点遍历序列
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return res;
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}
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/* Driver Code */
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/* 初始化无向图 */
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const v = Vertex.valsToVets([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]);
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const edges = [[v[0], v[1]], [v[0], v[3]], [v[1], v[2]], [v[1], v[4]],
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[v[2], v[5]], [v[3], v[4]], [v[3], v[6]], [v[4], v[5]],
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[v[4], v[7]], [v[5], v[8]], [v[6], v[7]], [v[7], v[8]]];
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const graph = new GraphAdjList(edges);
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console.log("\n初始化后，图为");
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graph.print();
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/* 广度优先遍历 BFS */
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const res = graphBfs(graph, v[0]);
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console.log("\n广度优先遍历（BFS）顶点序列为");
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console.log(Vertex.vetsToVals(res));
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49
codes/typescript/chapter_graph/graph_dfs.ts
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49
codes/typescript/chapter_graph/graph_dfs.ts
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/**
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* File: graph_dfs.ts
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* Created Time: 2023-02-21
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* Author: Zhuo Qinyue (1403450829@qq.com)
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*/
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import { Vertex } from '../module/Vertex';
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import { GraphAdjList } from './graph_adjacency_list';
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/* 深度优先遍历 DFS 辅助函数 */
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const dfs = (graph: GraphAdjList, visited: Set<Vertex>, res: Vertex[], vet: Vertex): void => {
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res.push(vet); // 记录访问顶点
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visited.add(vet); // 标记该顶点已被访问
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// 遍历该顶点的所有邻接顶点
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for (const adjVet of graph.adjList.get(vet)) {
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if (visited.has(adjVet)) {
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continue; // 跳过已被访问过的顶点
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}
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// 递归访问邻接顶点
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dfs(graph, visited, res, adjVet);
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}
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}
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/* 深度优先遍历 DFS */
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// 使用邻接表来表示图，以便获取指定顶点的所有邻接顶点
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const graphDFS = (graph: GraphAdjList, startVet: Vertex): Vertex[] => {
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// 顶点遍历序列
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const res: Vertex[] = [];
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// 哈希表，用于记录已被访问过的顶点
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const visited: Set<Vertex> = new Set();
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dfs(graph, visited, res, startVet);
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return res;
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}
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/* Driver Code */
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/* 初始化无向图 */
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const v = Vertex.valsToVets([0, 1, 2, 3, 4, 5, 6]);
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const edges = [[v[0], v[1]], [v[0], v[3]], [v[1], v[2]],
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[v[2], v[5]], [v[4], v[5]], [v[5], v[6]]];
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const graph = new GraphAdjList(edges);
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console.log("\n初始化后，图为");
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graph.print();
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/* 深度优先遍历 DFS */
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const res = graphDFS(graph, v[0]);
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console.log("\n深度优先遍历（DFS）顶点序列为");
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console.log(Vertex.vetsToVals(res));
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