4.6 Article

The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians

Journal

JOURNAL OF MATHEMATICS
Volume 2022, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2022/4120166

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Funding

  1. NSFC [12061007]
  2. Natural Science Found of Fujian Province [2020J01844]

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The article presents the formula for calculating the number of perfect matchings of two types of hexagons on the torus using Pfaffians.
Let G be a (molecular) graph. A perfect matching of G is defined as a set of edges which are independent and cover every vertex of G exactly once. In the article, we present the formula on the number of the perfect matchings of two types of hexagons on the torus by Pfaffians.

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