Wednesday, February 13, 2019

Kruskal's Algorithm in C









#include<stdio.h>

#define MAX 30

typedef struct edge
{
int u,v,w;
}edge;

typedef struct edgelist
{
edge data[MAX];
int n;
}edgelist;

edgelist elist;

int G[MAX][MAX],n;
edgelist spanlist;

void kruskal();
int find(int belongs[],int vertexno);
void union1(int belongs[],int c1,int c2);
void sort();
void print();

void main()
{
int i,j,total_cost;

printf("\nEnter number of vertices:");

scanf("%d",&n);

printf("\nEnter the adjacency matrix:\n");

for(i=0;i<n;i++)
for(j=0;j<n;j++)
scanf("%d",&G[i][j]);

kruskal();
print();
}

void kruskal()
{
int belongs[MAX],i,j,cno1,cno2;
elist.n=0;

for(i=1;i<n;i++)
for(j=0;j<i;j++)
{
if(G[i][j]!=0)
{
elist.data[elist.n].u=i;
elist.data[elist.n].v=j;
elist.data[elist.n].w=G[i][j];
elist.n++;
}
}

sort();

for(i=0;i<n;i++)
belongs[i]=i;

spanlist.n=0;

for(i=0;i<elist.n;i++)
{
cno1=find(belongs,elist.data[i].u);
cno2=find(belongs,elist.data[i].v);

if(cno1!=cno2)
{
spanlist.data[spanlist.n]=elist.data[i];
spanlist.n=spanlist.n+1;
union1(belongs,cno1,cno2);
}
}
}

int find(int belongs[],int vertexno)
{
return(belongs[vertexno]);
}

void union1(int belongs[],int c1,int c2)
{
int i;

for(i=0;i<n;i++)
if(belongs[i]==c2)
belongs[i]=c1;
}

void sort()
{
int i,j;
edge temp;

for(i=1;i<elist.n;i++)
for(j=0;j<elist.n-1;j++)
if(elist.data[j].w>elist.data[j+1].w)
{
temp=elist.data[j];
elist.data[j]=elist.data[j+1];
elist.data[j+1]=temp;
}
}

void print()
{
int i,cost=0;

for(i=0;i<spanlist.n;i++)
{
printf("\n%d\t%d\t%d",spanlist.data[i].u,spanlist.data[i].v,spanlist.data[i].w);
cost=cost+spanlist.data[i].w;
}

printf("\n\nCost of the spanning tree=%d",cost);
}

Output:

Enter the number of vertices:4

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

1       0       1
3       1       2
3       2       2

Cost of the spanning tree=5
--------------------------------
Process exited after 44.63 seconds with return value 29
Press any key to continue . . .

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