图的深度遍历（DFS）

Posted 2020-12-29 lynnmin

使用邻接矩阵进行存储；

package graph;

import java.util.ArrayList;

public class DFSTraverse {
    private static ArrayList<Integer> list = new ArrayList<Integer>();

    // 邻接矩阵存储；
    public static void main(String[] args) {
        // 初始数据；
        int[] vertexs = { 0, 1, 2, 3, 4, 5, 6, 7, 8 };
        int[][] edges = { { 0, 1, 0, 0, 0, 1, 0, 0, 0 }, { 1, 0, 1, 0, 0, 0, 1, 0, 1 }, { 0, 1, 0, 1, 0, 0, 0, 0, 1 },
                { 0, 0, 1, 0, 1, 0, 1, 1, 1 }, { 0, 0, 0, 1, 0, 1, 0, 1, 0 }, { 1, 0, 0, 0, 1, 0, 1, 0, 0 },
                { 0, 1, 0, 1, 0, 1, 0, 1, 0 }, { 0, 0, 0, 1, 1, 0, 1, 0, 0 }, { 0, 1, 1, 1, 0, 0, 0, 0, 0 } };
        DFSTraverse(vertexs, edges);
        System.out.println("深度遍历结果：" + list);

    }

    private static void DFSTraverse(int[] vertexs, int[][] edges) {
        boolean[] visited = new boolean[vertexs.length]; // 顶点是否被访问；
        for (int i = 0; i < visited.length; i++) {
            visited[i] = false;
        }
        
        for (int i = 0; i < vertexs.length; i++) {
            if (!visited[i]) { // 没有被访问；
                DFS(edges, visited, i, vertexs);
            }
        }
    }

    private static void DFS(int[][] edges, boolean[] visited, int i, int[] vertexs) {
        visited[i] = true;
    //  System.out.println(vertexs[i]);
        list.add(vertexs[i]);
        for (int j = 0; j < vertexs.length; j++) {
            if (edges[i][j] == 1 && !visited[i]) {
                DFS(edges, visited, j, vertexs);
            }
        }
    }
}

运行结果

图的深度优先遍历类似于二叉树的前序遍历。