/** * File: graph_bfs.js * Created Time: 2023-02-21 * Author: Zhuo Qinyue (1403450829@qq.com) */ const { GraphAdjList } = require('./graph_adjacency_list'); const { Vertex } = require('../modules/Vertex'); /* Breadth-first traversal */ // Represent the graph with an adjacency list to access all neighbors of a given vertex function graphBFS(graph, startVet) { // Vertex traversal sequence const res = []; // Hash set recording visited vertices const visited = new Set(); visited.add(startVet); // Use a queue to implement BFS const que = [startVet]; // Starting from startVet, loop until all reachable vertices have been visited while (que.length) { const vet = que.shift(); // Dequeue the front vertex res.push(vet); // Record the visited vertex // Traverse all neighbors of this vertex for (const adjVet of graph.adjList.get(vet) ?? []) { if (visited.has(adjVet)) { continue; // Skip vertices that have already been visited } que.push(adjVet); // Enqueue only unvisited vertices visited.add(adjVet); // Mark this vertex as visited } } // Return the vertex traversal sequence return res; } /* Driver code */ /* Initialize the undirected graph */ const v = Vertex.valsToVets([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]); const edges = [ [v[0], v[1]], [v[0], v[3]], [v[1], v[2]], [v[1], v[4]], [v[2], v[5]], [v[3], v[4]], [v[3], v[6]], [v[4], v[5]], [v[4], v[7]], [v[5], v[8]], [v[6], v[7]], [v[7], v[8]], ]; const graph = new GraphAdjList(edges); console.log('\nGraph after initialization:'); graph.print(); /* Breadth-first traversal */ const res = graphBFS(graph, v[0]); console.log('\nVertex sequence from breadth-first traversal (BFS):'); console.log(Vertex.vetsToVals(res));