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On finite dual Cayley graphs
Open Mathematics ( IF 1.0 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0141
Jiangmin Pan 1
Affiliation  

Abstract A Cayley graph Γ \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 Γ \Gamma (note that the right regular representation of G is always an automorphism group of Γ \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.

中文翻译:

在有限对偶凯莱图上

摘要 如果 G 的左正则表示是 Γ \Gamma 的自同构群的子群,则 G 上的凯莱图 Γ \Gamma 称为 G 上的对偶凯莱图(注意 G 的右正则表示总是自同构Γ \Gamma ) 的群。在本文中,我们研究了关于识别、构造、传递性的有限对偶 Cayley 图以及此类具有尽可能小的自同构群的图。还提出了一些值得进一步研究的问题。
更新日期:2020-01-01
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