Prim算法实现最小生成树(邻接矩阵存储图)

代码如下
#include <stdio.h>
#include <stdlib.h>
#define MAXSIZE 100

typedef struct
{
int vertex[MAXSIZE];
int edges[MAXSIZE][MAXSIZE];

}Graph;

void creatGraph(Graph *p)
{
int n,e,i,j,k,x;
printf(“print the number of vertex\n”);
scanf("%d",&n);
// printf(“input data of vertex\n”);
for(i=0;i<n;i++)//初始化顶点信息
{
//scanf("%d",&j);
//p->vertex[i]=j;
p->vertex[i]=i;
}
for(i=0;i<n;i++)//初始化边关系
for(j=0;j<n;j++)
p->edges[i][j]=9;

printf("print the number of edges\n");
scanf("%d",&e);
for(k=0;k<e;k++)
{
    printf("input edge of(i,j)\n");
    scanf("%d%d",&i,&j);
    printf("input the value of it\n");
    scanf("%d",&x);
    p->edges[i][j]=x;
    p->edges[j][i]=x;

}

}
void showGraph(Graph *p,int n)
{
int i,j;
printf(“vertex\n”);
for(i=0;i<n;i++)
printf("%4d",p->vertex[i]);
for(i=0;i<n;i++)
{
printf("\n");
for(j=0;j<n;j++)
printf("%4d",p->edges[i][j]);
}

}

void Prim(int gm[][MAXSIZE],int n)//gm 邻接矩阵,n为顶点数,生成的最小生成树存在closevertex
{
int lowcost[MAXSIZE];
int closevertex[MAXSIZE];
int i,j,k,mincost;
for(i=0;i<n;i++)
{
lowcost[i]=gm[0][i];
closevertex[i]=0;

}
lowcost[0]=0;
closevertex[0]=0;
printf("\n");
for(i=1;i<n;i++)//在n个顶点中生成有n-1条边的最小生成树
{
    mincost=MAXSIZE;
    j=1;k
    =0;
    while(j<n)
    {
        if(lowcost[j]!=0&&lowcost[j]<mincost)
        {
            mincost=lowcost[j];
            k=j;
        }
        j++;
    }
    printf("Edge:(%d,%d),Wight:%d\n",k,closevertex[k],mincost);

    lowcost[k]=0;
    for(j=1;j<n;j++)
        if(lowcost[j]!=0&&gm[k][j]<lowcost[j])
    {

        lowcost[j]=gm[k][j];
        closevertex[j]=k;
    }




}


for(int i=0;i<n;i++)
    printf("%4d",closevertex[i]);

}

int main()
{
Graph M,*p=&M;
creatGraph§;
showGraph(p,6);
Prim(&(p->edges[0]),6);

return 0;

}
测试数据 p184页
在这里插入图片描述

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转载自blog.csdn.net/cruel2436/article/details/84144218
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