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 OJDM  Vol.5 No.4 , October 2015
Domination Number of Square of Cartesian Products of Cycles
Morteza Alishahi*, Sakineh Hoseini Shalmaee
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Abstract: A set  is a dominating set of G if every vertex of  is adjacent to at least one vertex of S. The cardinality of the smallest dominating set of G is called the domination number of G. The square G2 of a graph G is obtained from G by adding new edges between every two vertices having distance 2 in G. In this paper we study the domination number of square of graphs, find a bound for domination number of square of Cartesian product of cycles, and find the exact value for some of them.
Keywords: Domination Number, Square of a Graph, Cartesian Product
Cite this paper: Alishahi, M. and Shalmaee, S. (2015) Domination Number of Square of Cartesian Products of Cycles. Open Journal of Discrete Mathematics, 5, 88-94. doi: 10.4236/ojdm.2015.54008.
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