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The Domination Number of Grids
Article de revue   Open Access   Avec comité de lecture

The Domination Number of Grids

Daniel Gonçalves, Alexandre Pinlou, Michaël Rao et Stéphan Thomassé
SIAM Journal on Discrete Mathematics, Vol.25, pp.1443-1453
2011

Résumé

grid domination
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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