The domination number of grids

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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 ≤ n ≤ m, γ(Gn,m) = [(n+2)(m+2)/5] - 4. © 2011 Society for Industrial and Applied Mathematics.

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Gonçalves, D., Pinlou, A., Rao, M., & Thomassé, S. (2011). The domination number of grids. SIAM Journal on Discrete Mathematics, 25(3), 1443–1453. https://doi.org/10.1137/11082574

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