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数据结构例程——非连通图的遍历

2015-11-03 21:26 507 查看
本文是[数据结构基础系列(7):图]中第7课时[非连通图的遍历]的例程。

(程序中graph.h是图存储结构的“算法库”中的头文件,详情请单击链接…

1、非连通图的深度优先遍历——DFS

#include <stdio.h>
#include <malloc.h>
#include "graph.h"
int visited[MAXV];     //定义存放节点的访问标志的全局数组
void DFS(ALGraph *G, int v)
{
ArcNode *p;
int w;
visited[v]=1;
printf("%d ", v);
p=G->adjlist[v].firstarc;
while (p!=NULL)
{
w=p->adjvex;
if (visited[w]==0)
DFS(G,w);
p=p->nextarc;
}
}

//采用深度优先搜索遍历非连通无向图
void DFS1(ALGraph *G)
{
int i;
for (i=0; i<G->n; i++)
if (visited[i]==0)
DFS(G,i);
}

int main()
{
int i;
ALGraph *G;
int A[8][8]=
{
{0,1,0,1,0,0,0,0},
{1,0,1,0,0,0,0,0},
{0,1,0,1,1,0,0,0},
{1,0,1,0,1,0,0,0},
{0,0,1,1,0,0,0,0},
{0,0,0,0,0,0,1,0},
{0,0,0,0,0,1,0,1},
{0,0,0,0,0,0,1,0},
};
ArrayToList(A[0], 8, G);
for (i=0; i<G->n; i++)
visited[i]=0; //访问标志数组初始化
printf(" 非连通图的广度优先遍历:\n");
DFS1(G);
return 0;
}


2、非连通图的广度优先遍历——BFS

#include <stdio.h>
#include <malloc.h>
#include "graph.h"
int visited[MAXV];     //定义存放节点的访问标志的全局数组
void BFS(ALGraph *G, int v)
{
ArcNode *p;
int w;
int queue[MAXV],front=0,rear=0; //定义循环队列
printf("%2d",v);            //输出被访问顶点的编号
visited[v]=1;                       //置已访问标记
rear=(rear+1)%MAXV;
queue[rear]=v;              //v进队
while (front!=rear)         //若队列不空时循环
{
front=(front+1)%MAXV;
w=queue[front];             //出队并赋给w
p=G->adjlist[w].firstarc;   //找w的第一个的邻接点
while (p!=NULL)
{
if (visited[p->adjvex]==0)
{
printf("%2d",p->adjvex); //访问之
visited[p->adjvex]=1;
rear=(rear+1)%MAXV; //该顶点进队
queue[rear]=p->adjvex;
}
p=p->nextarc;       //找下一个邻接顶点
}
}
printf("\n");
}

//采用广度优先搜索遍历非连通无向图
void BFS1(ALGraph *G)
{
int i;
for (i=0;i<G->n;i++)
if (visited[i]==0)
BFS(G,i);
}

int main()
{
int i;
ALGraph *G;
int A[8][8]=
{
{0,1,0,1,0,0,0,0},
{1,0,1,0,0,0,0,0},
{0,1,0,1,1,0,0,0},
{1,0,1,0,1,0,0,0},
{0,0,1,1,0,0,0,0},
{0,0,0,0,0,0,1,0},
{0,0,0,0,0,1,0,1},
{0,0,0,0,0,0,1,0},
};
ArrayToList(A[0], 8, G);
for (i=0; i<G->n; i++)
visited[i]=0; //访问标志数组初始化
printf(" 非连通图的广度优先遍历:\n");
BFS1(G);
return 0;
}


3、判断连通图

#include <stdio.h>
#include <malloc.h>
#include "graph.h"
int visited[MAXV];     //定义存放节点的访问标志的全局数组
void DFS(ALGraph *G, int v)
{
ArcNode *p;
int w;
visited[v]=1;  //此处做了标记即完成了访问,不必下句的输出
//printf("%d ", v);
p=G->adjlist[v].firstarc;
while (p!=NULL)
{
w=p->adjvex;
if (visited[w]==0)
DFS(G,w);
p=p->nextarc;
}
}

//是连通图返回true,否则返回false
bool Connect(ALGraph *G)
{
int i;
bool flag=true;
for (i=0; i<G->n; i++)
visited[i]=0;
DFS(G,0);
for (i=0; i<G->n; i++)
if (visited[i]==0)
{
flag=false;
break;
}
return flag;
}

int main()
{
int i;
ALGraph *G;
int A[8][8]=
{
{0,1,0,1,0,0,0,0},
{1,0,1,0,0,0,0,0},
{0,1,0,1,1,0,0,0},
{1,0,1,0,1,0,0,0},
{0,0,1,1,0,0,0,0},
{0,0,0,0,0,0,1,0},
{0,0,0,0,0,1,0,1},
{0,0,0,0,0,0,1,0},
};
ArrayToList(A[0], 8, G);
for (i=0; i<G->n; i++)
visited[i]=0; //访问标志数组初始化
if(Connect(G))
printf(" G是连通图\n");
else
printf(" G不是连通图\n");
return 0;
}


附:测试用的图及存储结构

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