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A note on divisibility of the number of matchings of a family of graphs - MaRDI portal

A note on divisibility of the number of matchings of a family of graphs (Q1028802)

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scientific article; zbMATH DE number 5576410
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A note on divisibility of the number of matchings of a family of graphs
scientific article; zbMATH DE number 5576410

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    A note on divisibility of the number of matchings of a family of graphs (English)
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    8 July 2009
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    Summary: For a certain graph obtained by adding extra vertices and edges to the triangular lattice graph, Propp conjectured that the number of perfect matchings of such a graph is always divisible by 3. In this note we prove this conjecture.
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