On transitive generalized Cayley graphs of semigroups

被引：0
|
作者：
Yongwen Zhu
机构：
[1] Yantai University,School of Mathematics and Information Science
来源：
Semigroup Forum | 2016年 / 93卷
关键词：
Cayley graph of semigroups; Generalized Cayley graph of semigroups; Vertex-transitivity; Colour-preserving automorphisms; Right simple action; Left simple action;
D O I：
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学科分类号：
摘要：
Generalized Cayley graphs of semigroups were first defined by Zhu (Semigroup Forum 84:131–143, 2012) and further studied by Zhu (Semigroup Forum 84:144–156, 2012) as well as by Wang (Semigroup Forum 86:221–223, 2013). In the present paper, we study the vertex-transitivity of generalized Cayley graphs of a semigroup so that two main theorems of Kelarev and Praeger (Eur J Comb 24:59–72, 2003) for the classical and well known Cayley graphs of semigroups are extended to those for generalized Cayley graphs of a semigroup.
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页码：247 / 263
页数：16
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