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2-Rainbow Domination of Hexagonal Mesh Networks

Elizabeth Thomas,D.Antony Xavier, S.Kulandai Therese

Published in:   Vol. 3 Issue 1 Date of Publication:   June 2014
Page(s):   5-8 Publisher:   Integrated Intelligent Research (IIR)
DOI:   10.20894/IJCOA. SAI : 2014SCIA316F0573

A 2-rainbow domination function of a graph G is a function fthat assigns to each vertex a set of colors chosen from the set {1, 2} i.e. ( ) ({ }), such that for any ( ) ( ) ; implies⋃ ( ) { } ( )The 2-rainbow domination number ( ) of a graph G is the minimum ( ) Σ| ( )| ( )over all such functions f.The Hexagonal networks are popular mesh-derived parallel architectures. In this paper we present an upper bound for the 2-rainbow domination number of hexagonal networks.