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Arya Bhatta Journal of Mathematics and Informatics
Year : 2017, Volume : 9, Issue : 2
First page : ( 255) Last page : ( 262)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.

The dominator coloring on some class of graphs

Mirajkar Keerthi G.*, Priyanka Y. B.**

Department of Mathematics, Karnatak Arts College, Dharwad-580 001, Karnataka, India

*E-mail: keerthi.mirajkar@gmail.com,

**priyankaybpriya@gmail.com

Online published on 18 October, 2017.

Abstract

Let G be finite, undirected, connected graph with vertex set V(G) and edge set E(G). A proper coloring of a graph G is a function from the set of vertices of a graph to a set of colors such that any two adjacent vertices have different colors. A dominator coloring of a graph G is a proper coloring of graph such that every vertex of V dominates all vertices of at least one color class(possible its own color class). In this article, we obtain dominator coloring of Jahangir graph, Kragujevac tree, Tadpole graph and Lollipop graph.

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Keywords

Dominator coloring, Jahangir graph, Kragujevavc tree, Tadpole graph, Lollipop graph.

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