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arXiv · 1102.5206

The Domination Number of Grids

Daniel Gonçalves·Alexandre Pinlou·Michael Rao·Stéphan Thomassé
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Abstract

In this paper, we conclude the calculation of the domination number of all $n\times m$ grid graphs. Indeed, we prove Chang's conjecture saying that for every $16\le n\le m$, $\gamma(G_{n,m})=\lfloor\frac{(n+2)(m+2)}{5}\rfloor -4$.

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Daniel Gonçalves, Alexandre Pinlou, Michael Rao, Stéphan Thomassé. 2011-02-25. The Domination Number of Grids. https://doi.org/10.1137/11082574

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