Can I have a bipartite matching java program best solution
import java.util.*;
import java.lang.*;
import java.io.*;
class GFG
{
// P is the number of applicants
// and Q is the number of jobs
static final int P = 6;
static final int Q = 6;
// A DFS recursive function that returns true if a matching for vertex u is possible
boolean bpm(boolean bpGraph[][], int u, boolean seen[], int matchR[])
{
for (int v = 0; v < Q; v++)
{
// If applicant u is interested in job v and v is not visited
if (bpGraph[u][v] && !seen[v])
{
// Mark v as visited
seen[v] = true;
// If job 'v' is not assigned to an applicant or previously assigned applicant for job v (which is matchR[v]) has an //alternate job available. Since v is marked as visited, matchR[v] in the following recursive call will not get the job 'v' again
if (matchR[v] < 0 || bpm(bpGraph, matchR[v],
seen, matchR))
{
matchR[v] = u;
return true;
}
}
}
return false;
}
//It will return the maximum number of matching from M to N
int maxBPM(boolean bpGraph[][])
{
// Creating an array to keep track of the applicants assigned to jobs. The value of matchR[i] is the applicant number //assigned to job i, the value -1 indicates nobody is assigned .
int matchR[] = new int[N];
// Initially all jobs are available to be assigned
for(int i = 0; i < Q; ++i)
matchR[i] = -1;
// It will store the count of jobs assigned to applicants
int result = 0;
for (int u = 0; u < P; u++)
{
// Mark all jobs as not seen for next applicant.
boolean seen[] =new boolean[Q] ;
for(int i = 0; i < Q; ++i)
seen[i] = false;
// Find if 'u' can get a job
if (bpm(bpGraph, u, seen, matchR))
result++;
}
return result;
}
public static void main (String[] args) throws java.lang.Exception
{
// Let us create a bpGraph
boolean bpGraph[][] = new boolean[][]; // assign 6*6 i.e. 36 values to the bpGraph
GFG m = new GFG();
System.out.println( "Maximum number of applicants that can get job is "+ m.maxBPM(bpGraph));
}
}
Can I have a Knapsack java program best solution
I have a question that if i have a graph that is bipartite but not a perfect matching how do i justify that its not a perfect matching by using halls theorem? Whats the explanation?
(i) Define the term bipartite graph. How can a bipartite graph be characterized in terms of its cycles (ii) What does the Matching Theorem say about certain bipartite graphs? (iii) Sketch a proof of the Matching Theorem.
I want a solution for this (step-by-step) please
thank you!
Q. No. 1: (a) Starting with the matching Ma - ((1, 5)}, apply the maximum-matching algorithm to the following bipartite graph: Solution (b) Is it a perfect matching? Solution:
Q. No. 1: (a) Starting with the matching Ma - ((1, 5)}, apply the maximum-matching algorithm to the following bipartite graph: Solution (b) Is it a perfect matching? Solution:
Please answer the question and write
legibly
(3) Prove that for a bipartite graph G on n vertices, we have a(G)- n/2 if and only if G has a perfect matching. (Recall that α(G) is the maximum size among the independent subsets of G.)
(3) Prove that for a bipartite graph G on n vertices, we have a(G)- n/2 if and only if G has a perfect matching. (Recall that α(G) is the maximum size among the independent subsets of...
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Hi, I have Java programming problem:
Please solve using Java.
Thanks.
Best Regards.
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