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Equitable Domination to the Cross Product of Special Graph


Author(s):

Kavitha B N , Sri Venkateshwara College of Engineering ; Dr. Indrani Kelkar, AVP Academics

Keywords:

Complete Graph, Complete Bipartite graph, Path, cycle, Cross Product graph, Domination, Equitable Domination

Abstract:

A subset D of V (G) is called an equitable dominating set of a graph G if for every v ∈ (V − D), there exists a vertex u ∈ D such that uv∈ E(G) and |deg(u) − deg(v)| ≤ 1. The minimum cardinality of such a dominating set is denoted by γ^e (G) and is called equitable domination number of G. In this paper we introduce the Equitable domination to the cross product of special graph.


Other Details:

Manuscript Id :IJSTEV3I10108
Published in :Volume : 3, Issue : 10
Publication Date: 01/05/2017
Page(s): 232-236
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