On the Classification of Arc-transitive Circulant Digraphs of Order Odd-Prime-Squared

被引：0
|
作者：
Xue Wen LI LMAM & School of Mathematical Sciences
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 2005年 / 21卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Cayley graph; Normal Cayley graph; Circulant digraph;
D O I：
暂无
中图分类号：
O157.5 [图论];
学科分类号：
摘要：
A Cayley graph Γ=Cay(G,S)of a group G with respect to S is called a circulant digraphof order p~k if G is a cyclic group of the same order.Investigated in this paper are the normalityconditions for arc-transitive circulant(all)graphs of order p~2 and the classification of all such graphs.Itis proved that any connected arc-transitive circulant digraph of order p~2 is,up to a graph isomorphism,either K~2,G(p~2,r),or G(p,r)[pK],where r|p-1.
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页码：1131 / 1136
页数：6
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