Research Article
Citation: D.Antony Xavier, Chiranjilal Kujur,Elizabeth Thomas. "Extended Roman Domination Number Of Hexagonal Networks." International Journal of Computing Algorithm 2.2 (2013): 109-111. |
An extended Roman domination function on a graph G=V,E is a function satisfying the conditions that i every vertex u for which fu is either 0 or 1 is adjacent to at least one vertex v for which fv =3. ii if u and v are two adjacent vertices and if fu=0 then fv≠0, similarly if fu=1 then fv≠1. The weight of an extended Roman domination function is the value Σ The minimum weight of an extended Roman domination function on graph G is called the extended Roman domination number of G, denoted by .The Hexagonal networks are popular mesh-derived parallel architectures. In this paper we present an upper bound for the extended Roman domination number of hexagonal networks.
Keywords Extended Roman domination, Extended Roman domination number, Hexagonal network.
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@article{Ext1398411, author = {D.Antony Xavier,Chiranjilal Kujur,Elizabeth Thomas}, title = {Extended Roman Domination Number Of Hexagonal Networks}, journal={International Journal of Computing Algorithm}, volume={2}, issue={2}, issn = {2278-2397}, year = {2013}, publisher = {Scholarly Citation Index Analytics-SCIA}
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