无向图的建立(邻接矩阵)与深度遍历程序(C语言)

如题所述

第1个回答  推荐于2018-04-04
(1) 图的建立,按采用邻接表作为存储结构,

(2) 从指定顶点出发进行深度优先搜索遍历。
(3) 从指定顶点出发进行广度优先搜索遍历。

#include"stdio.h"
#include"string.h"
#include"stdlib.h"
#include"math.h"

#define MAX_INT 1000
#define MAX_VERTEX_NUM 20
#define MAX_QUEUE_NUMBER 20

typedef struct ArcNode
{
int adjvex;
double adj;
struct ArcNode *nextarc;
}ArcNode;
typedef struct VexNode
{
char szName[40];
ArcNode *firstarc;
}VexNode,AdjList[MAX_VERTEX_NUM];
typedef struct
{
AdjList vexs;
int vexnum,arcnum;
}Net;
//定义队列
typedef struct{
int *elem;
int front, rear;
}Queue;
void InitQueue(Queue &Q)
{
Q.elem = new int[MAX_QUEUE_NUMBER];
Q.front = Q.rear = 0;
}
int EmptyQueue(Queue Q)
{
if(Q.front==Q.rear)
return 0;
else
return 1;
}
void DestroyQueue(Queue &Q){
delete []Q.elem;
Q.front = Q.rear = 0;
}

void EnterQueue(Queue &Q, int e)
{
if((Q.rear + 1)%MAX_QUEUE_NUMBER != Q.front)
Q.elem[Q.rear ] = e;
else
printf("队列满!\n");
Q.rear = (Q.rear + 1)%MAX_QUEUE_NUMBER;
}
void LeaveQueue(Queue &Q, int &e)
{
if(Q.rear != Q.front)
e = Q.elem[Q.front];
else
printf("队列空!\n");
Q.front = (Q.front+1)%MAX_QUEUE_NUMBER;
}
int LocateVex(Net ga,char *name)
{
int i;
for(i=0;i<ga.vexnum;i++)
if(strcmp(name,ga.vexs[i].szName)==0)
return i;
return -1;

}
void crt_net(Net &ga)
{
ArcNode *p;
char name1[40],name2[40];
int i,j,k;
double w;
printf("请输入顶点数和弧数:");
scanf("%d%d",&ga.vexnum,&ga.arcnum);
printf("请依次输入顶点名:\n");
for(i=0;i<ga.vexnum;i++)
{
scanf("%s",ga.vexs[i].szName);
ga.vexs[i].firstarc=NULL;
}
for(k=0;k<ga.arcnum;k++)
{
printf("请输入相邻的两个定点和权值:");
scanf("%s%s%lf",name1,name2,&w);
i=LocateVex(ga,name1);
j=LocateVex(ga,name2);
p=new ArcNode;
p->adjvex=j;
p->adj=w;
p->nextarc=ga.vexs[i].firstarc;
ga.vexs[i].firstarc=p;
}
}

void DFS(Net ga,char *name,int *visited)
{
int v,w;
ArcNode *p;
v=LocateVex(ga,name);
visited[v]=1;
printf("%s ",ga.vexs[v].szName);
p=ga.vexs[v].firstarc;
while(p!=NULL)
{
w=p->adjvex;
if(visited[w]==0)
DFS(ga,ga.vexs[w].szName,visited);
p=p->nextarc;
}

}
void DFSTravel(Net ga,char *name)
{
int v,k=0;
int visited[20];
for(v=0;v<ga.vexnum;v++)
visited[v]=0;
for(v=LocateVex(ga,name);k!=2;v=(v+1)%(ga.vexnum-1))
{
if(v+1==LocateVex(ga,name))
k++;
if(visited[v]==0)
DFS(ga,ga.vexs[v].szName,visited);

}
}

void BFSTravel(Net ga,char *name)
{
ArcNode *p;
int v,w,u,k=0;
Queue Q;
int visited[20];
for(v=0;v<ga.vexnum;v++)
visited[v]=0;
InitQueue(Q);
for(v=LocateVex(ga,name);k!=2;v=(v+1)%(ga.vexnum-1))
{
if(v+1==LocateVex(ga,name))
k++;
if(visited[v]==0)
{
visited[v]=1;
printf("%s ",ga.vexs[v].szName);
EnterQueue(Q,v);
while(EmptyQueue(Q)!=0)
{
LeaveQueue(Q,u);
p=ga.vexs[u].firstarc;
while(p!=NULL)
{
w=p->adjvex;
if(visited[w]==0)
{
printf("%s ",ga.vexs[w].szName);
visited[w]=1;
EnterQueue(Q,w);
}
p=p->nextarc;
}
}
}

}
}

void main()
{
char name[40];
Net ga;
crt_net(ga);
printf("请输入深度优先遍历开始点的名:");
scanf("%s",name);
printf("深度优先遍历:");
DFSTravel(ga,name);
printf("\n");
printf("请输入广度优先遍历开始点的名:");
scanf("%s",name);
printf("广度优先遍历:");
BFSTravel(ga,name);
printf("\n");

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