A Note on Quadrangular Embedding of Abelian Cayley Graphs

Authors

DOI:

https://doi.org/10.5540/tema.2016.017.03.0331

Keywords:

Abelian Cayley Graphs, Genus of a graph, Flat torus, Tessellations.

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 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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Published

2016-12-20

How to Cite

Strapasson, J. E., Costa, S. I. R., & Muniz, M. (2016). A Note on Quadrangular Embedding of Abelian Cayley Graphs. Trends in Computational and Applied Mathematics, 17(3), 331. https://doi.org/10.5540/tema.2016.017.03.0331

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Original Article