8

 import java.util.Scanner;

public class KruskalsClass 

{

final static int MAX = 20;

static int n; // No. of vertices of G

static int cost[][]; // Cost matrix

static Scanner scan = new Scanner(System.in);

public static void main(String[] args) 

{

ReadMatrix();

Kruskals();

}

static void ReadMatrix() 

{

int i, j;

cost = new int[MAX][MAX];

System.out.println("Implementation of Kruskal's algorithm");

System.out.println("Enter the no. of vertices");

n = scan.nextInt();

System.out.println("Enter the cost adjacency matrix");

for (i = 1; i <= n; i++) 

 {

for (j = 1; j <= n; j++) 

{

cost[i][j] = scan.nextInt();

if (cost[i][j] == 0)

cost[i][j] = 999;

}

}

}

static void Kruskals() 

{

int a = 0, b = 0, u = 0, v = 0, i, j, ne = 1, min, mincost = 0;

System.out.println("The edges of Minimum Cost Spanning Tree are");

while (ne < n) 

{

for (i = 1, min = 999; i <= n; i++) 

{

for (j = 1; j <= n; j++) 

{

if (cost[i][j] < min) 

{

min = cost[i][j];

a = u = i;

b = v = j;

}

}

}

u = find(u);

v = find(v);

if (u != v) 

 {

uni(u, v);

System.out.println(ne++ + "edge (" + a + "," + b + ") =" + min);

mincost += min;

}

cost[a][b] = cost[b][a] = 999;

}

System.out.println("Minimum cost :" + mincost);

}

static int find(int i) 

{

int parent[] = new int[9];

while (parent[i] == 1)

i = parent[i];

return i;

}

static void uni(int i, int j) {

int parent[] = new int[9];

parent[j] = i;

}

}

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