奇数阶的4度2-弧传递图  

Tetravalent 2-Arc-Transitive Graphs of Odd Order

作　　者：李晓琪 赖子峰 

机构地区：[1]云南财经大学统计与数学学院,云南 昆明

出　　处：《理论数学》2021年第12期1987-1992,共6页Pure Mathematics

摘　　要：设Γ是一个连通图,G≤Aut(Γ),如果G作用在图的2-弧集上是传递的,则称Γ为(G,2)-弧传递图。在本文中,我们通过研究G作用在VΓ上拟本原来刻画奇数阶4度(G,2)-弧传递图,并且利用陪集图来描述这些图。LetΓ be a connected graph, G≤Aut(Γ). Γ is said to be (G,2)-arc-transitive if G acts transitively on its 2-arcs. In this paper, we characterize tetravalent (G,2)-arc-transitive graphs of odd order by studying the quasiprimitive case of G acting on vertex set of Γ, and a description of these graphs as coset graphs is given.

关 键 词：2-弧传递图 自同构群 拟本原 几乎单群 

分 类 号：O15[理学—数学]