Article ID Journal Published Year Pages File Type
4654138 European Journal of Combinatorics 2010 8 Pages PDF
Abstract

In this paper, the lower bounds on the maximum genus of a simple graph in terms of its connectivity, Betti number, minimum degree and girth are obtained. The result shows that lower bounds on the maximum genus for simple graphs with given connectivity become larger and larger as the minimum degree or girth increases. In some senses, we improve on recent results of several authors.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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