Regular Cayley maps of skew-type 3 for abelian groups

被引：9

作者：

Zhang, Jun-Yang ^{[1
]}

机构：

[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2014年 / 39卷

基金：

中国国家自然科学基金;

关键词：

DIHEDRAL GROUPS; GRAPHS; CLASSIFICATION;

D O I：

10.1016/j.ejc.2014.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M = CM(G, X, p) be a regular Cayley map, and let phi be the corresponding skew-morphism. If the power function of phi assumes exactly i values in Z(vertical bar X vertical bar), then M is called of skew-type i. Note that regular balanced Cayley maps are of skew-type 1, and regular t-balanced (including anti-balanced) Cayley maps are of skew-type 2. Those two classes of maps have been studied by many researchers. In this paper, some results on regular Cayley maps of skew-type 3 for abelian groups are given. As applications, many new regular Cayley maps for abelian groups are constructed. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：198 / 206

页数：9

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