On 2-arc-transitive Cayley graphs of Abelian groups

被引：9

作者：

Potocnik, P ^{[1
]}

机构：

[1] Univ Ljubljana, IMFM, Oddelek Matemat, SI-1000 Ljubljana, Slovenia

来源：

DISCRETE MATHEMATICS | 2002年 / 244卷 / 1-3期

关键词：

vertex-transitive graph; Cayley graph; 2-arc-transitive graph; permutation group; Schur ring;

D O I：

10.1016/S0012-365X(01)00068-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A 2-arc in a graph X is a sequence of three distinct vertices of graph X where the first two and the last two are adjacent. A graph X is 2-arc-transitive if its automorphism group acts transitively on the set of 2-arcs of X. Some properties of 2-arc-transitive Cayley graphs of Abelian groups are considered. It is also proved that the set of generators of a 2-arc-transitive Cayley graph of an Abelian group which is not a circulant contains no elements of odd order. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：417 / 421

页数：5