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

Author:

Wei Shouliu1ORCID,Lu Fuliang2ORCID,Ke Xiaoling1

Affiliation:

1. College of Mathematics and Data Science (Software College), Minjiang University, Fuzhou, 350108 Fujian, China

2. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, 363000 Fujian, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

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