Create Kruskal’s_Algorithm.js

Siddhi-Bodake · web-flow · commit 24c519479f9e · 2023-10-25T17:48:37.000+05:30
I want to contribute Kruskal’s Algorithm Simple Implementation for Adjacency Matrix
diff --git a/Kruskal’s_Algorithm.js b/Kruskal’s_Algorithm.js
@@ -0,0 +1,76 @@
+var V = 5;
+var parent = Array(V).fill(0);
+var INF = 1000000000;
+ 
+// Find set of vertex i
+function find(i)
+{
+    while (parent[i] != i)
+        i = parent[i];
+    return i;
+}
+ 
+// Does union of i and j. It returns
+// false if i and j are already in same
+// set.
+function union1(i, j)
+{
+    var a = find(i);
+    var b = find(j);
+    parent[a] = b;
+}
+ 
+// Finds MST using Kruskal's algorithm
+function kruskalMST(cost)
+{
+    var mincost = 0; // Cost of min MST.
+ 
+    // Initialize sets of disjoint sets.
+    for (var i = 0; i < V; i++)
+        parent[i] = i;
+ 
+    // Include minimum weight edges one by one
+    var edge_count = 0;
+    while (edge_count < V - 1)
+    {
+        var min = INF, a = -1, b = -1;
+        for (var i = 0; i < V; i++)
+        {
+            for (var j = 0; j < V; j++) 
+            {
+                if (find(i) != find(j) && cost[i][j] < min) 
+                {
+                    min = cost[i][j];
+                    a = i;
+                    b = j;
+                }
+            }
+        }
+ 
+        union1(a, b);
+        document.write(`Edge ${edge_count++}:(${a}, 
+        ${b}) cost:${min} <br>`);
+        mincost += min;
+    }
+    document.write(`<br> Minimum cost= ${mincost} <br>`);
+}
+ 
+// Driver code
+ 
+/* Let us create the following graph
+        2 3
+    (0)--(1)--(2)
+    | / \ |
+    6| 8/ \5 |7
+    | /     \ |
+    (3)-------(4)
+            9         */
+var cost = [
+    [INF, 2, INF, 6, INF],
+    [2, INF, 3, 8, 5],
+    [INF, 3, INF, INF, 7],
+    [6, 8, INF, INF, 9],
+    [INF, 5, 7, 9, INF]];
+// Print the solution
+kruskalMST(cost);
+ 
