Enumeration of perfect matchings of graphs with reflective symmetry by Pfaffians (Q1883410)
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scientific article; zbMATH DE number 2107256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Enumeration of perfect matchings of graphs with reflective symmetry by Pfaffians |
scientific article; zbMATH DE number 2107256 |
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Enumeration of perfect matchings of graphs with reflective symmetry by Pfaffians (English)
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12 October 2004
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The authors apply the Pfaffian method for enumeration of perfect matchings to a few types of plane graphs with reflective symmetry, effectively showing that the number of perfect matchings in these cases may be represented by a determinant of a certain order or by an expression involving eigenvalues of a graph.
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perfect matchings
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Pfaffian orientation
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symmetric graph
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skew adjacency matrix
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