### On the Sizes of Maximal Independent Sets of Cylindrical Grid Graphs

#### Abstract

If a graph G has exactly t different sizes of maximal independent sets, G belongs to a collection called Mt. For the Cartesian product of the graph Pn, the path of length n, and Cm, the cycle of length m, called cylindrical grid, we present a method to find maximal independent sets having different sizes and a lower bound on t, such that these graphs belong to Mt.

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DOI: http://dx.doi.org/10.5540/tema.2016.017.03.0367

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**TEMA - Trends in Applied and Computational Mathematics**

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

ISSN: 1677-1966 (print version), 2179-8451 (online version)

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