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Asian Journal of Research in Social Sciences and Humanities
Year : 2016, Volume : 6, Issue : 10
First page : ( 1963) Last page : ( 1972)
Online ISSN : 2249-7315.
Article DOI : 10.5958/2249-7315.2016.01145.X

Pseudo-Achromatic Number of Honeycomb Derived Networks

Umamageswari RM, Arul Sharmila Mary

Department of Mathematics, Jeppiaar Engineering College, Chennai, India

Online published on 14 October, 2016.

Abstract

The Pseudo-Achromatic number ψs G of a graph G is the maximum number of colors which may be assigned to the vertices of G so that for every two colors, there exists adjacent vertices to which these colors are assigned (adjacent vertices may have the same color). This paper formulates an O(1)-approximation algorithm for the Pseudo-Achromatic number of honeycomb derived networks.

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Keywords

Pseudo-Achromatic number, achromatic number, chromatic number, NP-Completeness.

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