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
收藏
页码：148 / 158
页数：11
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