Asian Journal of Research in Social Sciences and Humanities
  • Year: 2016
  • Volume: 6
  • Issue: 10

Pseudo-Achromatic Number of Honeycomb Derived Networks

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.

Keywords

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