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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on divisibility of the number of matchings of a family of graphs |
scientific article; zbMATH DE number 5576410 |
Statements
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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