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.

/***********************************************************
* You can use all the programs on  www.c-program-example.com
* for personal and learning purposes. For permissions to use the
* programs for commercial purposes,
* contact [email protected]
* To find more C programs, do visit www.c-program-example.com
* and browse!
* 
*                      Happy Coding
***********************************************************/

#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();
}

Read more Similar C Programs
Data Structures

Learn C Programming

You can easily select the code by double clicking on the code area above.

To get regular updates on new C programs, you can Follow @c_program

You can discuss these programs on our Facebook Page. Start a discussion right now,

our page!

Share this program with your Facebook friends now! by liking it

(you can send this program to your friend using this button)

Like to get updates right inside your feed reader? Grab our feed!

(c) www.c-program-example.com