A classification of regular t-balanced Cayley maps for cyclic groups

作者：Kwon Young Soo^*

来源：Discrete Mathematics, 2013, 313(5): 656-664.

DOI：10.1016/j.disc.2012.12.012

• Cayley map
• t-balanced
• Regular embedding

A Cayley map M = CM (G, X, p) is t-balanced if p(x)(-1) = p(t)(x(-1)) for all x is an element of X. Recently, Conder et al. classified the regular anti-balanced Cayley maps for abelian groups and Kwak et al. classified the regular t-balanced Cayley maps for dihedral groups [8] and dicyclic groups [9]. Oh [11] classified the regular t-balanced Cayley maps for semi-dihedral groups. In this paper, we classify the regular t-balanced Cayley maps for cyclic groups for any t.

• 出版日期2013-3-6