Prim's Algorithm

C Program For Prim's Algorithm.

Source Code:

#include<stdio.h>
#include<conio.h>

int a,b,u,v,n,i,j,ne=1;
int visited[10]={0},min,mincost=0,cost[10][10];
int main()
{
 printf("\n Enter the number of nodes:");
 scanf("%d",&n);
 printf("\n Enter the adjacency matrix:\n");
 for(i=1;i<=n;i++)
  for(j=1;j<=n;j++)
  {
   scanf("%d",&cost[i][j]);
   if(cost[i][j]==0)
    cost[i][j]=999;
  }
 visited[1]=1;
 printf("\n");
 while(ne<n)
 {
  for(i=1,min=999;i<=n;i++)
   for(j=1;j<=n;j++)
    if(cost[i][j]<min)
     if(visited[i]!=0)
     {
      min=cost[i][j];
      a=u=i;
      b=v=j;
     }
  if(visited[u]==0 || visited[v]==0)
  {
   printf("\n Edge %d:(%d %d) cost:%d",ne++,a,b,min);
   mincost+=min;
   visited[b]=1;
  }
  cost[a][b]=cost[b][a]=999;
 }
 printf("\n Minimun cost=%d",mincost);
 getch();
 return 0;
}

output:

 Enter the number of nodes:6

 Enter the adjacency matrix:
0 3 1 6 0 0
3 0 5 0 3 0
1 5 0 5 6 4
6 0 5 0 0 2
0 3 6 0 0 6
0 0 4 2 6 0


 Edge 1:(1 3) cost:1
 Edge 2:(1 2) cost:3
 Edge 3:(2 5) cost:3
 Edge 4:(3 6) cost:4
 Edge 5:(6 4) cost:2
 Minimun cost=13