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

Shouliu Wei, Fuliang Lu, Xiaoling Ke and Xiaogang Liu

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4120166

DOI: 10.1155/2022/4120166

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