Friday, 11 November 2022

Write a C program for minimum cost spanning tree.

 Prims algorithm is a greedy algorithm that finds the minimum spanning tree of a graph. Graph should be weighted, connected, and undirected.


  1. main() { //clrscr(); 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(); }

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