On finite dual Cayley graphs

被引：0
|
作者：
Pan, Jiangmin [1 ]
机构：
[1] Yunnan Univ Finance & Econ, Sch Math & Stat, Kunming, Yunnan, Peoples R China
来源：
OPEN MATHEMATICS | 2020年 / 18卷
基金：
中国国家自然科学基金;
关键词：
dual Cayley graph; identification; construction; transitivity; PERMUTATION-GROUPS;
D O I：
10.1515/math-2020-0141
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Cayley graph Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Gamma (note that the right regular representation of G is always an automorphism group of Gamma). In this article, we study finite dual Cayley graphs regarding identification, construction, transitivity and such graphs with automorphism groups as small as possible. A few problems worth further research are also proposed.
引用
收藏
页码：595 / 602
页数：8
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