Domination Number of Square of Cartesian Products of Cycles ()
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.
Share and Cite:
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.
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