Geodesic
The domination number of $K_n^3$
Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 3, pp. 629-632

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Let K_n^3 denote the Cartesian product K_n□K_n□K_n, where K_n is the complete graph on n vertices. We show that the domination number of K_n^3 is ⌈n^2/2⌉.
Keywords: Cartesian product, dominating set, domination number 
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Georges, John; Lin, Jianwei; Mauro, David. The domination number of $K_n^3$. Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 3, pp. 629-632. http://geodesic.mathdoc.fr/item/DMGT_2014_34_3_a14/