Finite 2-arc-transitive abelian Cayley graphs

被引：69

作者：

Li, Cai Heng ^{[1
]}

Pan, Jiangmin

机构：

[1] Yunnan Univ, Dept Math, Kunming 650031, Peoples R China

[2] Univ Western Australia, Sch Math & Stat, Nedlands, WA 6009, Australia

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2008年 / 29卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1016/j.ejc.2006.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a finite 2-arc-transitive Cayley graph of an abelian group. It is shown that either Gamma is explicitly known, or Gamma may be represented as a normal or bi-normal Cayley graph of an abelian or a meta-abelian 2-group. In particular, one of three cases occurs: Gamma = K-n.n - nK(2) where n is even but is not a 2-power, Gamma has 2-power number of vertices, or Gamma is a circulant. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：148 / 158

页数：11

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