Reflexibility of regular Cayley maps for abelian groups

Conder, Marston D. E.; Kwon, Young Soo and Širáň, Jozef (2009). Reflexibility of regular Cayley maps for abelian groups. Journal of Combinatorial Theory, Series B, 99(1) pp. 254–260.

DOI: https://doi.org/10.1016/j.jctb.2008.07.002

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.

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