Edge-Transitive Regular Metacyclic Covers of the Petersen Graph

被引：5
|
作者：
Pan, Jiangmin [1 ,2 ]
Huang, Zhaohong [2 ]
机构：
[1] Yunnan Univ Finance & Econ, Sch Math & Stat, Kunming, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming, Peoples R China
来源：
GRAPHS AND COMBINATORICS | 2016年 / 32卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Regular cover; Metacyclic group; Normal quotient graph; ELEMENTARY ABELIAN COVERS; CUBIC SYMMETRIC GRAPHS;
D O I：
10.1007/s00373-015-1597-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a complete classification is given of all the regular metacyclic covers of the Petersen graph, whose fibre-preserving groups act edge-transitively. Moreover, as an application, it is proved that there is no cubic 1-arc-regular graph with order 5m where m is a cube-free integer and coprime to 15.
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页码：777 / 784
页数：8
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