A Note on Quadrangular Embedding of Abelian Cayley Graphs

João E. Strapasson, Sueli I. R. Costa, Marcelo Muniz S. Alves · TEMA (São Carlos) · 2016

The genus graphs have been studied by many authors, but just a few results concerning in special cases: Planar, Toroidal, Complete, Bipartite and Cartesian Product of Bipartite. We present here a general lower bound for the genus of a abelian Cayley graph and construct a family of circulant graphs which reach this bound.

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