Algorithms for Generating Minimal Blockers of Perfect Matchings in Bipartite Graphs and Related Problems
نویسندگان
چکیده
A minimal blocker in a bipartite graph G is a minimal set of edges the removal of which leaves no perfect matching in G. We give a polynomial delay algorithm for finding all minimal blockers of a given bipartite graph. Equivalently, this gives a polynomial delay algorithm for listing the anti-vertices of the perfect matching polytope P (G) = {x ∈ R | Hx = e, x ≥ 0}, where H is the incidence matrix of G. We also give similar generation algorithms for other related problems, including d-factors in bipartite graphs, and perfect 2-matchings in general graphs.
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Transversal hypergraphs to perfect matchings in bipartite graphs: Characterization and generation algorithms
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