MatchingWeightedBipartiteHungarianMethod (JGAlgo - Parent 0.5.1-SNAPSHOT API)

java.lang.Object
- com.jgalgo.alg.match.MatchingAlgoAbstract
- - com.jgalgo.alg.match.MatchingAlgoAbstractBasedMaximum
  - - com.jgalgo.alg.match.MatchingWeightedBipartiteHungarianMethod

All Implemented Interfaces:

MatchingAlgo
```
public class MatchingWeightedBipartiteHungarianMethod
extends MatchingAlgoAbstractBasedMaximum
```
Kuhn's Hungarian method for maximum weighted matching in bipartite graphs.
The running time of the algorithm is \(O(m n + n^2 \log n)\) and it uses linear space.
Based on 'The Hungarian method for the assignment problem' by Kuhn, H.W. (1955). The original paper stated a running time of \(O(n^3)\), but by using heaps with decreaseKey operations in \(O(1)\) the running time can be reduced to \(O(m n + n^2 \log n)\), as done in this implementation.

Author:

Barak Ugav

- Nested Class Summary
  - Nested classes/interfaces inherited from interface com.jgalgo.alg.match.MatchingAlgo
    MatchingAlgo.Builder
- Constructor Summary
  
  Constructors
  Constructor Description
  
  MatchingWeightedBipartiteHungarianMethod()
  Create a new maximum weighted matching object.
- Method Summary
  - Methods inherited from class com.jgalgo.alg.match.MatchingAlgoAbstract
    computeMaximumMatching, computeMaximumPerfectMatching, computeMinimumMatching, computeMinimumPerfectMatching
  - Methods inherited from class java.lang.Object
    equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - MatchingWeightedBipartiteHungarianMethod
```
public MatchingWeightedBipartiteHungarianMethod()
```
    Create a new maximum weighted matching object.