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arXiv · 1004.0244

A note on quadrangular embedding of Abelian Cayley Graphs

J. E. Strapasson·S. I. R. Costa·M. M. S. Alves
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Abstract

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 derive 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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J. E. Strapasson, S. I. R. Costa, M. M. S. Alves. 2010-04-01. A note on quadrangular embedding of Abelian Cayley Graphs. https://arxiv.org/abs/1004.0244

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