Finite locally primitive abelian Cayley graphs  

作　　者：LI CaiHeng LOU BenGong PAN JiangMin 

机构地区：[1]Department of Mathematics,Yunnan University,Kunming 650031,China [2]School of Mathematics and Statistics,The University of Western Australia Crawly,Perth 6009,Australia

出　　处：《Science China Mathematics》2011年第4期845-854,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10771132,11071210);Australia Research Council Discovery Grant

摘　　要：Let Γ be a finite connected locally primitive Cayley graph of an abelian group.It is shown that one of the following holds:(1) Γ = Kn,Kn,n,Kn,n-nK2,Kn ×···× Kn;(2) Γ is the standard double cover of Kn ×···× Kn ;(3) Γ is a normal or a bi-normal Cayley graph of an elementary abelian or a meta-abelian 2-group.Let Γ be a finite connected locally primitive Cayley graph of an abelian group.It is shown that one of the following holds：（1） Γ = Kn,Kn,n,Kn,n-nK2,Kn × · · · × Kn;（2） Γ is the standard double cover of Kn × · · · × Kn ;（3） Γ is a normal or a bi-normal Cayley graph of an elementary abelian or a meta-abelian 2-group.

关 键 词：locally primitive Cayley graphs normal cover 

分 类 号：O157.5[理学—数学] O11[理学—基础数学]