Genera of Cayley maps

被引：0
|
作者：
JianBing Liu
Jin Ho Kwak
机构：
[1] Beijing Jiaotong University,Department of Mathematics
[2] Pohang University of Science and Technology,Department of Mathematics
来源：
Science China Mathematics | 2015年 / 58卷
关键词：
Cayley graphs; Cayley maps; surfaces; embedding; genus; 05C10; 05C30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The genus distribution of a graph G is defined to be the sequence {gm}, where gm is the number of different embeddings of G in the closed orientable surface of genus m. In this paper, we examine the genus distributions of Cayley maps for several Cayley graphs. It will be shown that the genus distribution of Cayley maps has many different properties from its usual genus distribution.
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页码：859 / 868
页数：9
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