5.3.1连通图的深度优先搜索

#include "stdafx.h"
#include <iostream.h>
#include <malloc.h>

//邻接表,存储P114的5-10
#define vnum 8

//单链表定义
typedef struct arcnode
{
    int adjvex;                                            //与其相连的下个结点的编号
    struct arcnode * nextarc;                            //指向下一个结点的指针
}ArcNodeTp;

//头结点定义
typedef struct vexnode
{
    int vertex;                                            //结点编号
    ArcNodeTp * firstarc;                                //指向单链表的指针
}AdjList[vnum];

//对此图的定义
typedef struct graph
{
    AdjList adjlist;                                    //头结点    
    int vexnum;                                            //结点数
    int arcnum;                                            //边数
}GraphTp;

//建立一个新的结点
ArcNodeTp * CreateNewNode(int adjvex)
{
    ArcNodeTp * node=(ArcNodeTp *)malloc(sizeof(ArcNodeTp));
    node->adjvex=adjvex;
    node->nextarc=NULL;

    return node;
}

//建立P114的5-10的无向图
void CreateGrapth(GraphTp & graph)
{
    graph.vexnum=7;
    graph.arcnum=8;

    ArcNodeTp * p=NULL;
    int index=0;
    //建立结点
    index=0;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(1);
        //修改头结点
    graph.adjlist[index].firstarc=p;
        //指向下一个结点
    p->nextarc=CreateNewNode(2);

    index=1;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(3);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(4);

    index=2;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(5);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(6);

    index=3;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(1);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(7);

    index=4;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(1);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(7);

    index=5;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(2);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(6);

    index=6;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(2);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(5);

    index=7;
    graph.adjlist[index].vertex=index;
    p=CreateNewNode(3);
    graph.adjlist[index].firstarc=p;
    p->nextarc=CreateNewNode(4);
}

//深度优先算法
void Dfs(GraphTp graph,int value,int visited[])
{
    ArcNodeTp *p=NULL;
    cout<<"访问顶点"<<value<<endl;
    visited[value]=1;
    p=graph.adjlist[value].firstarc;
    while(p!=NULL)
    {
        if (!visited[p->adjvex])
        {
            Dfs(graph,p->adjvex,visited);
        }
        p=p->nextarc;
    }
}

int main(int argc, char* argv[])
{
    int visited[vnum];
    for(int i=0;i<vnum;i++)
    {
        visited[i]=0;
    }
    GraphTp graph;
    CreateGrapth(graph);
    Dfs(graph,0,visited);

    return 0;
}