C++ Programming Code Examples
C++ > Computer Graphics Code Examples
This C++ Program to Find All Pairs Shortest Path in a Graph.
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/* This C++ Program to Find All Pairs Shortest Path in a Graph. */
#include <iostream>
#include <cstdlib>
#define max 10
#define infi 999
using namespace std;
int p[max][max];
/* All Pairs Shortest Path using Floyd's Algorithm */
void allpairshort(int a[max][max], int n)
{
int k, i, j;
for (k = 0; k < n; k++)
{
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
if (a[i][k] + a[k][j] < a[i][j])
{
a[i][j] = a[i][k] + a[k][j];
p[i][j] = k;
}
}
}
}
}
/* Storing the shortest path */
void shortest(int i, int j)
{
int k = p[i][j];
if (k > 0)
{
shortest(i, k);
cout<<" "<<k<<" ";
shortest(k, j);
}
}
/* Display the Shortest Path */
void findpath(int a[max][max], int i, int j, int n)
{
cout<<"Path from " << i <<" to "<< j << ":";
if (a[i][j] < infi)
{
cout<<" "<<i<<" ";
shortest(i, j);
cout<<" "<<j<<" ";
}
}
/* Main Contains Menu */
int main()
{
int i, j;
int a[][10] = {{0, 10, infi, 30, 100},
{infi, 0 , 50, infi, infi},
{infi, infi , 0, infi, 10},
{infi, infi , 20, 0, 60},
{infi, infi , infi, infi, 0},
};
allpairshort(a, 5);
findpath(a, 0, 4, 5);
return 0;
}
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