package com.study.graph; import java.util.LinkedList; import java.util.Queue; /** * @author ldb * @date 2019-10-23 15:10 */ public class Graph { private int v; private LinkedList adj[]; // 邻接表 public Graph(int v) { this.v = v; adj = new LinkedList[v]; for (int i = 0; i < v; ++i) { adj[i] = new LinkedList<>(); } } /** * 添加边 * * @param s 顶点 * @param t 顶点 */ public void addEdge(int s, int t) { // 无向图一条边存两次 adj[s].add(t); adj[t].add(s); } public void bfs(int s, int t) { if (s == t) return; // visited是用来记录已经被访问的顶点,用来避免顶点被重复访问。 boolean[] visited = new boolean[v]; visited[s] = true; // queue是一个队列,用来存储已经被访问、但相连的顶点还没有被访问的顶点。 Queue queue = new LinkedList<>(); queue.add(s); // prev用来记录搜索路径。 int[] prev = new int[v]; for (int i = 0; i < v; ++i) { prev[i] = -1; } while (queue.size() != 0) { int w = queue.poll(); for (int i = 0; i < adj[w].size(); ++i) { int q = adj[w].get(i); if (!visited[q]) { prev[q] = w; if (q == t) { print(prev, s, t); return; } visited[q] = true; queue.add(q); } } } } private void print(int[] prev, int s, int t) { // 递归打印 s->t 的路径 if (prev[t] != -1 && t != s) { print(prev, s, prev[t]); } System.out.print(t + " "); } public static void main(String[] args) { Graph graph = new Graph(8); graph.addEdge(0,1); graph.addEdge(0,3); graph.addEdge(1,2); graph.addEdge(1,4); graph.addEdge(2,5); graph.addEdge(4,5); graph.addEdge(4,6); graph.addEdge(5,7); graph.addEdge(6,7); // graph.bfs(0,6); // 深度优先 graph.dfs(0, 6); } boolean found = false; // 全局变量或者类成员变量 public void dfs(int s, int t) { found = false; boolean[] visited = new boolean[v]; int[] prev = new int[v]; for (int i = 0; i < v; ++i) { prev[i] = -1; } recurDfs(s, t, visited, prev); print(prev, s, t); } private void recurDfs(int w, int t, boolean[] visited, int[] prev) { if (found == true) return; visited[w] = true; if (w == t) { found = true; return; } for (int i = 0; i < adj[w].size(); ++i) { int q = adj[w].get(i); if (!visited[q]) { prev[q] = w; recurDfs(q, t, visited, prev); } } } }