OUTER CONNECTED EQUITABLE DOMINATING SETS IN A GRAPH

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 166

Volume : 17 , Issue : 2
DOI:
Author :
P. Nataraj (The Madura College, Madurai, Tamil Nadu - 625011, INDIA)
A. Wilson Baskar (Ramanujan Research Center in Mathematics, Saraswathi Narayanan College, Madurai, Tamil Nadu - 625022, INDIA)
V. Swaminathan (Ramanujan Research Center in Mathematics, Saraswathi Narayanan College, Madurai, Tamil Nadu - 625022, INDIA)

Abstract

Let $G$ be a simple graph with vertex set $V$ and edge set $E$. An equitable dominating set $D$ of $V(G)$ is called an outer connected equitable dominating set of G if $<V - D>$ is connected. A study of outer connected equitable dominating sets in a graph is initiated.

Keywords and Phrases

Equitable domination, outer connected domination.

A.M.S. subject classification

05C69.

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