Affiliation:
1. 1 Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology Pohang, 790-784 Korea
2. 2 Yeungnam University, Kyeongsan 712-749 Korea
Abstract
A Cayley map is an embedding of a Cayley graph into an
orientable surface and it has been studied intensively for last decades [1, 8,
10, 11, 15, 16, 17, 18, etc]. In this paper we consider an embedding of
a Cayley graph into an orientable or nonorientable surface. We call it a
generalized Cayley map. We describe the automorphism group of a generalized
Cayley map and determine when a generalized Cayley map can be regular. The
Petrie dual of a generalized Cayley map is also studied. Finally, the first
infinite family of graphs which can be underlying graphs of nonorientable
regular maps is presented.
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献