On prime-valent symmetric graphs of order four times an odd prime power

被引：1

作者：

Pan, Jiangmin ^{[1
]}

Zhang, Yingnan ^{[1
]}

Wang, Chao ^{[1
]}

Huang, Junjie ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Sch Stat & Math, Kunming, Yunnan, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Symmetric graph; normal quotient graph; normal cover; S-TRANSITIVE GRAPHS; PERMUTATION-GROUPS; CYCLIC COVERS; TWICE; CLASSIFICATION; NUMBER;

D O I：

10.1080/00927872.2022.2045607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we classify symmetric basic prime-valent graphs of order four times an odd prime power. As an application, prime-valent symmetric graphs of order four times a prime or prime square are specifically determined. We remark that special cases for valency 5 and 7 were characterized by Yang etc. (Eur. J. Combin. 80:236-246, 2019) and Pan and Yin (J. Algebr. Appl. 17(5):1850093, 2018).

引用

页码：3840 / 3852

页数：13

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