Tuesday, 14 May 2013

11. KRUSHKAL'S ALGORITHM


Code:
import java.util.*;
class krushkal
{
            public static void main(String ag[])
             {
             Scanner s=new Scanner(System.in);
                        System.out.println("enter no of vertices");
                        int v=s.nextInt();
                        System.out.println("enter no of edges");
                        int e=s.nextInt();
                        int w[]=new int[e];
                        int x[]=new int[e];
                        int y[]=new int[e];
         for(int i=0;i<e;i++)
                                {       System.out.println("enter edges with weight");
                                    x[i]=s.nextInt();
                                    y[i]=s.nextInt();
                                    w[i]=s.nextInt();    }      
                            for(int i=0;i<e;i++)
                               for(int j=0;j<e-1;j++)
                                  {
                                    if(w[j]>w[j+1])
                                       {          int t=w[j];
                                                w[j]=w[j+1];
                                                w[j+1]=t;
                                                t=x[j];
                                                x[j]=x[j+1];
                                                x[j+1]=t;
                                                t=y[j];
                                                y[j]=y[j+1];
                                                y[j+1]=t;
                                       }}
                              boolean b[]=new boolean[e]; 
                              for(int i=0;i<e;i++)
                                  b[i]=false;
                                  int cost=0;
                            for(int i=0;i<e;i++)
                             {
                                                if(!(b[x[i]]&&b[y[i]]))
                                                    {b[x[i]]=true;
                                                            b[y[i]]=true;
                                                            cost+=w[i];}
                                    }
                             System.out.println("the cost is "+cost)     
                             }
}
OUTPUT:

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