/** * File: graph_bfs.java * Created Time: 2023-02-12 * Author: krahets (krahets@163.com) */ package chapter_graph; import java.util.*; import utils.*; public class graph_bfs { /* Breadth-first traversal */ // Use adjacency list to represent the graph, to obtain all adjacent vertices of a specified vertex static List graphBFS(GraphAdjList graph, Vertex startVet) { // Vertex traversal sequence List res = new ArrayList<>(); // Hash set, used to record visited vertices Set visited = new HashSet<>(); visited.add(startVet); // Queue used to implement BFS Queue que = new LinkedList<>(); que.offer(startVet); // Starting from vertex vet, loop until all vertices are visited while (!que.isEmpty()) { Vertex vet = que.poll(); // Dequeue the vertex at the head of the queue res.add(vet); // Record visited vertex // Traverse all adjacent vertices of that vertex for (Vertex adjVet : graph.adjList.get(vet)) { if (visited.contains(adjVet)) continue; // Skip already visited vertices que.offer(adjVet); // Only enqueue unvisited vertices visited.add(adjVet); // Mark the vertex as visited } } // Return the vertex traversal sequence return res; } public static void main(String[] args) { /* Initialize undirected graph */ Vertex[] v = Vertex.valsToVets(new int[] { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }); Vertex[][] 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] } }; GraphAdjList graph = new GraphAdjList(edges); System.out.println("\nAfter initialization, the graph is"); graph.print(); /* Breadth-first traversal */ List res = graphBFS(graph, v[0]); System.out.println("\nBreadth-first traversal (BFS) vertex sequence is"); System.out.println(Vertex.vetsToVals(res)); } }