Class 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(mn+n2logn) 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(n3), but by using heaps with decreaseKey operations in O(1) the running time can be reduced to O(mn+n2logn), as done in this implementation.

    Author:
    Barak Ugav
    • Constructor Detail

      • MatchingWeightedBipartiteHungarianMethod

        public MatchingWeightedBipartiteHungarianMethod()
        Create a new maximum weighted matching object.