ARC-TRANSITIVE PRIME-VALENT GRAPHS OF ORDER TWICE A PRIME POWER

被引：0
|
作者：
Pan, Jiangmin [1 ]
Li, Cai Heng [2 ]
机构：
[1] Yunnan Univ Finance & Econ, Sch Math & Stat, Kunming, Yunnan, Peoples R China
[2] Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
来源：
ARS COMBINATORIA | 2018年 / 138卷
基金：
中国国家自然科学基金;
关键词：
arc transitive graph; basic graph; Cayley graph; CUBIC SYMMETRIC GRAPHS; 2 DISTINCT PRIMES; PERMUTATION-GROUPS; CAYLEY-GRAPHS; PRIMITIVE GRAPHS; PRODUCT; SQUARE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study arc-transitive graphs of order twice a prime power and any prime valency. In particular, we characterize such graphs which are 'basic' (admitting an arc-transitive automorphism group that has no intransitive normal subgroup such that the respective quotient graph retains the valence of the original graph). As an application, arc-transitive graphs of order twice a prime square and any prime valency are characterized, extending a few previous results.
引用
收藏
页码：171 / 191
页数：21
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