Arc-transitive dihedral regular covers of cubic graphs

被引：0
|
作者：
Ma, Jicheng [1 ,2 ]
机构：
[1] Chongqing Univ Arts & Sci, Dept Math, Chongqing 402160, Peoples R China
[2] Chongqing Univ Arts & Sci, KLDAIP, Chongqing 402160, Peoples R China
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2014年 / 21卷 / 03期
关键词：
Arc-transitive graph; Regular cover; Dihedral cover; Cubic graph;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A regular covering projection is called dihedral or abelian if the covering transformation group is dihedral or abelian. A lot of work has been done with regard to the classification of arc-transitive abelian (or elementary abelian, or cyclic) covers of symmetric graphs. In this paper, we investigate arc-transitive dihedral regular covers of symmetric (arc-transitive) cubic graphs. In particular, we classify all arc-transitive dihedral regular covers of K-4, K-3,K-3, the 3-cube Q(3) and the Petersen graph.
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页数：15
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