The Classification of Connected Imprimitive Arc-transitive Graphs on Zp×Zp  

作　　者：李学文 徐明曜 

机构地区：[1]School of Mathematical Sciences Peking University,Beijing,100871 P.R.China [2]Mathematics Department,Tangshan Teachers’College,Tangshan,Hebei,063000,P.R.China

出　　处：《数学进展》2005年第3期373-374,共2页Advances in Mathematics（China）

基　　金：Project supported by the National Science Foundation of China under grant(No.103710003).

摘　　要：The term (di)graph is employed to mean that a graph in question is either a directed graph or an undirected graph. The symbol G(p, r) represents the digraph defined by Chao[1]:V(G(p,r)) = Zp, E(G(p,r)) = {(x,y)|x - y ∈ Hr}, where p is a prime, r is a positive divisor of p - 1 and Hr is the unique subgroup of order r in Aut(Zp).

关 键 词：非原始弧迁移 连通图 图论 卡利图 完全子图 

分 类 号：O157.5[理学—数学]