Wednesday, 22 November 2017

C++ Program to Implement Johnson’s Algorithm


Code:

#include    iostream
#include    conio.h

using namespace std;

int min(int a, int b);
int cost[10][10], a[10][10], i, j, k, c;

int min(int a, int b)
{
    if (a < b)
        return a;
    else
        return b;
}

int main(int argc, char **argv)
{
    int n, m;
    cout << "Enter no of vertices";
    cin >> n;
    cout << "Enter no of edges";
    cin >> m;
    cout << "Enter the\nEDGE Cost\n";
    for (k = 1; k <= m; k++)
    {
        cin >> i >> j >> c;
        a[i][j] = cost[i][j] = c;
    }
    for (i = 1; i <= n; i++)
        for (j = 1; j <= n; j++)
        {
            if (a[i][j] == 0 && i != j)
                a[i][j] = 31999;
        }
    for (k = 1; k <= n; k++)
        for (i = 1; i <= n; i++)
            for (j = 1; j <= n; j++)
                a[i][j] = min(a[i][j], a[i][k] + a[k][j]);
    cout << "Resultant adj matrix\n";
    for (i = 1; i <= n; i++)
    {
        for (j = 1; j <= n; j++)
        {
            if (a[i][j] != 31999)
                cout << a[i][j] << " ";
        }
        cout << "\n";
    }
    return 0;
}


Output:

Enter no of vertices 3
Enter no of edges 5
Enter the
EDGE Cost
1 2 4
2 1 6
1 3 11
3 1 3
2 3 2
Resultant adj matrix
0 4 6 
5 0 2 
3 7 0 

------------------
(program exited with code: 0)
Press return to continue


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