Automation and Autonomous Systems

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On Dominator Coloring in Circulant Graphs


Affiliations
1 Department of Mathematics, Karpagam University, Coimbatore-21, India
     

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The concept of dominator chromatic number was introduced by Gera et al. A dominator coloring of G is a proper coloring in which every vertex of G dominates every vertex of at least one color class. The  χd(G) dominator chromatic number, is the minimum number of colors, which a dominator coloring of G requires. In this paper we found the dominator coloring of Circulant graph.

Keywords

Dominator Coloring, Dominator Chromatic Number, Circulant Graphs.
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  • On Dominator Coloring in Circulant Graphs

Abstract Views: 315  |  PDF Views: 4

Authors

A. Sangeetha Devi
Department of Mathematics, Karpagam University, Coimbatore-21, India
M. M. Shanmugapriya
Department of Mathematics, Karpagam University, Coimbatore-21, India

Abstract


The concept of dominator chromatic number was introduced by Gera et al. A dominator coloring of G is a proper coloring in which every vertex of G dominates every vertex of at least one color class. The  χd(G) dominator chromatic number, is the minimum number of colors, which a dominator coloring of G requires. In this paper we found the dominator coloring of Circulant graph.

Keywords


Dominator Coloring, Dominator Chromatic Number, Circulant Graphs.



DOI: https://doi.org/10.36039/ciitaas%2F7%2F7%2F2015%2F106719.179-180