Tetravalent edge-transitive Cayley graphs of Frobenius groups

被引：0
|
作者：
Wang, Lei [1 ]
Liu, Yin [2 ]
Yan, Yanxiong [3 ]
机构：
[1] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
[2] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
[3] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2021年 / 53卷 / 02期
关键词：
Frobenius group; Edge-transitive graph; Coset graph; Cayley graph; 2-ARC-TRANSITIVE REGULAR COVERS; FAMILY; K-N;
D O I：
10.1007/s10801-020-01005-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a characterisation for a class of edge-transitive Cayley graphs and provide a method for constructing edge-transitive graphs of valency 4 with arbitrarily large vertex stabiliser. In particular, in the last section, we obtain certain extensions of the results of Li et al. (Tetravalent edge-transitive Cayley graphs with odd number of vertices, J Comb Theory Ser B 96:164-181, 2006) on half-transitive graphs.
引用
收藏
页码：527 / 551
页数：25
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