C Program to implement Floyd’s Algorithm

Data structures using C, Here we solve the Floyd’s algorithm using C Programming Language. Floyd’s algorithm uses to find the least-expensive paths between all the vertices in a Graph.

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#include<stdio.h>
#include<conio.h>
int min(int,int);
void floyds(int p[10][10],int n)
{
int i,j,k;
for(k=1;k<=n;k++)
for(i=1;i<=n;i++)
for(j=1;j<=n;j++)
if(i==j)
p[i][j]=0;
else
p[i][j]=min(p[i][j],p[i][k]+p[k][j]);
}
int min(int a,int b)
{
if(a<b)
return(a);
else
return(b);
}
void main()
{
int p[10][10],w,n,e,u,v,i,j;;
clrscr();
printf("n Enter the number of vertices:");
scanf("%d",&n);
printf("n Enter the number of edges:n");
scanf("%d",&e);
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
p[i][j]=999;
}
for(i=1;i<=e;i++)
{
printf("n Enter the end vertices of edge%d with its weight n",i);
scanf("%d%d%d",&u,&v,&w);
p[u][v]=w;
}
printf("n Matrix of input data:n");
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
printf("%d t",p[i][j]);
printf("n");
}
floyds(p,n);
printf("n Transitive closure:n");
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
printf("%d t",p[i][j]);
printf("n");
}
printf("n The shortest paths are:n");
for(i=1;i<=n;i++)
for(j=1;j<=n;j++)
{
if(i!=j)
printf("n <%d,%d>=%d",i,j,p[i][j]);
}
getch();
}
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