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- W2280027996 abstract "Let G be a plane bipartite graph that admits a perfect matching. A forcing set for a perfect matching M of G is a subset S of M such that S is not contained by other perfect matchings of G. The minimum cardinality of forcing sets of M is called the forcing number of M, denoted by f(G,M). Pachter and Kim established a minimax result: for any perfect matching M of G, f(G,M) is equal to the maximum number of disjoint M-alternating cycles in G. For a polyomino graph H, we show that for every perfect matching M of H with the maximum or second maximum forcing number, f(H,M) is equal to the maximum number of disjoint M-alternating squares in H. This minimax result does not hold in general for other perfect matchings of H with smaller forcing number." @default.
- W2280027996 created "2016-06-24" @default.
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- W2280027996 date "2016-06-01" @default.
- W2280027996 modified "2023-10-15" @default.
- W2280027996 title "A minimax result for perfect matchings of a polyomino graph" @default.
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- W2280027996 doi "https://doi.org/10.1016/j.dam.2016.01.033" @default.
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