k-Isolate Domination Number of Splitting Graph of Simple Graphs

# G. Rajasekar^{1} and A. Jeslet Kani Bala^{1}

^{1}Department of Mathematics, Jawahar Science College, Neyveli, Tamilnadu, India.**Abstract:** A dominating set $S$ of a graph $G$ is said to be a $k$-isolate dominating set if $\left\langle S \right\rangle$ has at least $k$-isolated vertices [4]. In this paper the $k$-isolate dominating set of splitting graph of some graphs such as path, cycle and complete graphs are found.

**Keywords:** Dominating set, Isolate dominating set, $k$-isolate dominating set, $k$-isolate domination number, splitting graph, path, cycle and complete graph.

**Cite this article as:** G.Rajasekar and A. Jeslet Kani Bala*k-Isolate Domination Number of Splitting Graph of Simple Graphs*, Int. J. Math. And Appl., vol. 9, no. 2, 2021, pp. 13-16.

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