Regular maps from Cayley graphs II antibalanced Cayley maps

✍ Scribed by Jozef Širáň; Martin Škoviera

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 827 KB
• Volume: 124
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(94)90089-2

✦ Synopsis

A Cayley map is a Cayley graph embedded in some orientable surface so that the local rotations at every vertex are identical. In this series we consider two types of such maps: the balanced and antibalanced Cayley maps. Part I was devoted to giving conditions under which a balanced Cayley map is regular or reflexible, and to determining the corresponding map automorphism groups. In Part II, similar questions will be pursued for antibalanced maps. Results and their proofs are based on the theory of groups with sign structure.