The Pfaffian property of Cayley graphs on dihedral groups

被引：1
|
作者：
Lu, Fuliang [1 ]
Chen, Xiaodan [2 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[2] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
来源：
DISCRETE APPLIED MATHEMATICS | 2020年 / 285卷
关键词：
Pfaffian orientation; Cayley graph; Dihedral group; Perfect matching; CARTESIAN PRODUCTS; PERFECT MATCHINGS; ENUMERATION;
D O I：
10.1016/j.dam.2020.07.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Which graphs admit a Pfaffian orientation? This is a significant and interesting problem in matching theory because the number of perfect matchings of a graph can be computed in polynomial time if it admits a Pfaffian orientation. In this paper, we completely characterize the Pfaffian property of Cayley graphs on dihedral groups. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：642 / 649
页数：8
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