Journal Articles SIAM Journal on Discrete Mathematics Year : 2011

The Domination Number of Grids

Abstract

In this paper, we conclude the calculation of the domination number of all n×m grid graphs. Indeed, we prove Chang's conjecture saying that for every $16 \leq n \leq m, \gamma(G_n,m) = \left\lfloor((n+2)(m+2))/5\right\rfloor - 4.

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Dates and versions

lirmm-00569256 , version 1 (24-02-2011)

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Daniel Gonçalves, Alexandre Pinlou, Michaël Rao, Stéphan Thomassé. The Domination Number of Grids. SIAM Journal on Discrete Mathematics, 2011, 25, pp.1443-1453. ⟨10.1137/11082574⟩. ⟨lirmm-00569256⟩
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