Geodesic
Note on the split domination number of the Cartesian product of paths
Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 1-2, pp. 79-84.

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In this note the split domination number of the Cartesian product of two paths is considered. Our results are related to [2] where the domination number of Pₘ ☐ Pₙ was studied. The split domination number of P₂ ☐ Pₙ is calculated, and we give good estimates for the split domination number of Pₘ ☐ Pₙ expressed in terms of its domination number.
Keywords: domination number, split domination number, Cartesian product of graphs 
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Zwierzchowski, Maciej. Note on the split domination number of the Cartesian product of paths. Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 1-2, pp. 79-84. http://geodesic.mathdoc.fr/item/DMGT_2005_25_1-2_a8/

[1] R. Diestel, Graph Theory (Springer-Verlag New York, Inc., 1997).

[2] M.S. Jacobson and L.F. Kinch, On the domination number of products of graphs: I, Ars Combinatoria 18 (1983) 33-44.

[3] V.R. Kulli and B. Janakiram, The split domination number of a graph, Graph Theory Notes of New York XXXII (1997) 16-19.