Merge pull request #114 from ashish1500616/JohnsonsAlgorithm

#55 Implementation Of Johnson's Algorithm in cpp.

Author: matthewsamuel95

Graph/Johnson'sAlgorithm/Johnson'sAlgorithm.cpp

@@ -0,0 +1,51 @@
+#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;
+}