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Sunday, June 1, 2008

Krushkal's Algorithm - 2

/* C Program on Krushkal's Algorithm */

#include< stdio.h>
#include< stdlib.h>
void main()
{
int graph[15][15],s[15],pathestimate[15],mark[15];
int num_of_vertices,source,i,j,u,predecessor[15];
int count=0;
int minimum(int a[],int m[],int k);
void printpath(int,int,int[]);
printf("\nEnter The No. Of Vertices\n");
m scanf("%d",&num_of_vertices);
if(num_of_vertices< =0)
{
printf("\nThis Is Meaningless\n");
exit(1);
}
printf("\nEnter The Adjacent Matrix\n");
for(i=1;i< =num_of_vertices;i++)
{
printf("\nEnter The Elements Of Row %d\n",i);
for(j=1;j< =num_of_vertices;j++)
scanf("%d",&graph[i][j]);
}
printf("\nEnter The Source Vertex\n");
scanf("%d",&source);
for(j=1;j< =num_of_vertices;j++)
{
mark[j] = 0;
pathestimate[j] = 999;
predecessor[j] = 0;
}
pathestimate[source]=0;

while(count< num_of_vertices)
{
u = minimum(pathestimate,mark,num_of_vertices);
s[++count] = u;
mark[u] = 1;
for(i=1;i< =num_of_vertices;i++)
{
if(graph[u][i]>0)
{
if(mark[i]!=1)
{
if(pathestimate[i]>pathestimate[u]+graph[u][i])
{
pathestimate[i] = pathestimate[u]+graph[u][i];
predecessor[i] = u;
}
}
}
}
}
for(i=1;i< =num_of_vertices;i++)
{
printpath(source,i,predecessor);
if(pathestimate[i]!=999)
printf("->(%d)\n",pathestimate[i]);
}
}

int minimum(int a[],int m[],int k)
{
int mi=999;
int i,t;
for(i=1;i< =k;i++)
{
if(m[i]!=1)
{
if(mi>=a[i])
{
mi = a[i];
t = i;
}
}
}
return t;
}

void printpath(int x,int i,int p[])
{
printf("\n");
if(i==x)
printf("%d",x);
else if(p[i]==0)
printf("Number Path From %d To %d",x,i);
else
{
printpath(x,p[i],p);
printf("..%d",i);
}
}
/****************

Enter The No. Of Vertices
6

Enter The Adjacent Matrix

Enter The Elements Of Row 1
0 1 1 1 0 0

Enter The Elements Of Row 2
0 0 1 0 1 0

Enter The Elements Of Row 3
0 0 0 1 1 1

Enter The Elements Of Row 4
0 0 0 0 0 1

Enter The Elements Of Row 5
0 0 0 0 0 1

Enter The Elements Of Row 6
0 0 0 0 0 0

Enter The Source Vertex
1

1->(0)


1..2->(1)


1..3->(1)


1..4->(1)



1..3..5->(2)



1..4..6->(2)

*/

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