Locally-primitive Arc-transitive 10-Valent Graphs of Square-free Order

被引：3
|
作者：
Li, Guang [1 ]
Lu, Zaiping [1 ]
Zhang, Xiaoyuan [1 ]
机构：
[1] Nankai Univ, LPMC TJKLC, Ctr Combinator, Tianjin 300071, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2018年 / 25卷 / 02期
基金：
中国国家自然科学基金;
关键词：
arc-transitive graph; locally-primitive graph; normal quotient; vertex-stabilizer; (almost) simple group; MAXIMAL-SUBGROUPS;
D O I：
10.1142/S1005386718000172
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a complete classification for locally-primitive arc-transitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infinite families of graphs.
引用
收藏
页码：243 / 264
页数：22
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