ISOMORPHIC FACTORIZATIONS OF CAYLEY GRAPHS ON ABELIAN GROUP WITH PRIME DEGREE  

作　　者：王建方 陈金发 李育强 

机构地区：[1]Institute of Applied Mathematics Academia Sinica Beijing 100080 PRC,Institute of Applied Mathematics Academia Sinica Beijing 100080 PRC,Henan University Kaifeng 475001 PRC,

出　　处：《Chinese Science Bulletin》1992年第9期786-787,共2页

摘　　要：Definition 1. Let G be a finite group, S G╲{1}and S^-1={s^-1|s∈G}=S. The Cayley graph on G with respect to S, written as Γ（S; G）, is defined as V（Γ（S; G））, E（Γ（S; G）={g, sg）|g∈G, s∈S}. If S generates G, then Γ（S; G） is connected; otherwise it consists of [G: 【S】] disjoint copies of Γ（S; 【S】）, where 【S】 denotes the subgroup of G which is generated by S.

关 键 词：DISJOINT SUBGROUP connected otherwise ISOMORPHIC GENERA rational 

分 类 号：N[自然科学总论]