Arc-transitive cubic graphs of order four times an odd square-free integer

被引：1

作者：

Ling, Bo ^{[1
]}

Lou, Ben Gong ^{[2
]}

机构：

[1] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650031, Yunnan, Peoples R China

[2] Yunnan Univ, Sch Math & Stat, Kunming 650031, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2017年 / 16卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Arc-transitive graph; normal quotient; automorphism group; 2 DISTINCT PRIMES; SYMMETRIC GRAPHS; TWICE; CLASSIFICATION; PRODUCT; NUMBER;

D O I：

10.1142/S0219498817502139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Xu, Zhang and Zhou [Chin. Ann. Math. 25B(4) (2004) 545-554] classified all arc-transitive cubic graphs of order 4p with p a prime. In this paper, we shall generalize this result by classifying all connected arc-transitive cubic graphs of order four times an odd square-free integer. It is shown that, for each of such graphs Gamma, either the full automorphism group Aut Gamma is isomorphic to PSL(2, p), PGL(2, p), PSL(2, p) x Z(2) or PGL(2, p) x Z(2), or Gamma is isomorphic to one of 5 graphs.

引用

页数：12

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