Reflexibility of regular Cayley maps for abelian groups

doi:10.1016/j.jctb.2008.07.002

Journal of Combinatorial Theory, Series B

Volume 99, Issue 1, January 2009, Pages 254-260

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Abstract

In this paper, properties of reflexible Cayley maps for abelian groups are investigated, and as a result, it is shown that a regular Cayley map of valency greater than 2 for a cyclic group is reflexible if and only if it is anti-balanced.

Keywords

Cayley map

Regular embedding

Anti-balanced

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¹: Research supported in part by the N.Z. Marsden Fund, Grant UOA 316.

²: Supported by a grant from the Korea Research Foundation funded by the Korean Government (MOEHRD, Basic Research Promotion Fund) (KRF-2007-331-C00004).

³: Research supported in part by the N.Z. Marsden Fund, Grant UOA 316.