scholarly journals Regular maps from Cayley graphs II antibalanced Cayley maps

1994 ◽  
Vol 124 (1-3) ◽  
pp. 179-191 ◽  
Author(s):  
Jozef Širáň ◽  
Martin Škoviera
Keyword(s):  
Cayley Graphs ◽  
Regular Maps ◽  
Cayley Maps

scholarly journals Regular maps from Cayley graphs III: t-balanced Cayley maps

2007 ◽  
Vol 307 (3-5) ◽  
pp. 517-533 ◽  
Author(s):  
Ľubica Líšková ◽  
Martin Mačaj ◽  
Martin Škoviera
Keyword(s):  
Cayley Graphs ◽  
Regular Maps ◽  
Cayley Maps

scholarly journals Regular maps from Cayley graphs, part 1: Balanced Cayley maps

1992 ◽  
Vol 109 (1-3) ◽  
pp. 265-276 ◽  
Author(s):  
Martin Škoviera ◽  
Jozef Širáň
Keyword(s):  
Cayley Graphs ◽  
Regular Maps ◽  
Cayley Maps

scholarly journals Automorphism groups of Cayley graphs generated by block transpositions and regular Cayley maps

2017 ◽  
Vol 340 (1) ◽  
pp. 3125-3139 ◽  
Author(s):  
Annachiara Korchmaros ◽  
István Kovács
Keyword(s):  
Automorphism Groups ◽  
Cayley Graphs ◽  
Cayley Maps

Unoriented Cayley maps

2006 ◽  
Vol 43 (2) ◽  
pp. 137-157
Author(s):  
Jin Ho Kwak ◽  
Young Soo Kwon
Keyword(s):  
Automorphism Group ◽  
Cayley Graph ◽  
Infinite Family ◽  
Orientable Surface ◽  
Nonorientable Surface ◽  
Cayley Map ◽  
Regular Maps ◽  
Cayley Maps

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.

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