The Comparison of the Medium Domination Number and NonSplit Dominating Set of An Interval Graph
Journal Title: International Journal of Engineering and Science Invention - Year 2017, Vol 6, Issue 12
Abstract
Among the variance application of the theory of domination that have been considered, the one that is perhaps most often discussed concerns a communication net work towards an intervals graph(G) corresponding to an interval family I. We are interest in dominating set with the additional property that the vertices in the dominating sets can be paired or matched via extending ends in the graph. In this paper, for any finite connected interval graph corresponding to I, we defined the medium domination number of an interval graph. The medium domination number is notation which uses neighborhood of each pair of vertices and also a Non-Spilt domination and studied these parameter for variance stranded interval graph and obtained the bounds for these parameters. The main idea of this parameter is that each i,j ∈ 𝑉 must be protected. So it is needed to examine how many vertices are capable of dominating presented. The comparison of the medium domination number and Non-Split domination number of interval graph corresponding to an interval family I.
Authors and Affiliations
Dr. A. Sudhakaraiah, R. Joshna Priyadharsini
Keywords
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