Domination Number of Square of Cartesian Products of Cycles

DOI: 10.4236/ojdm.2015.54008   PDF   HTML   XML   3,748 Downloads   4,598 Views   Citations

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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