Honeycomb toroidal graphs are Cayley graphs

被引:20
|
作者
Alspach, Brian [1 ]
Dean, Matthew [1 ]
机构
[1] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Cayley graph; Interconnection networks; Honeycomb toroidal graphs;
D O I
10.1016/j.ipl.2009.03.009
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
There is a particular family of trivalent vertex-transitive graphs that have been called generalized honeycomb tori by some and brick products by others. They have been studied as hexagonal embeddings on the torus as well. We show that all these graphs are Cayley graphs on generalized dihedral groups. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:705 / 708
页数:4
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