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Swaminathan, V. and Dharmalingam, K.M. (2011) Degree Equitable Domination on Graphs. Kragujevak Journal of Mathematics, 35, 191-197.
has been cited by the following article:
TITLE: On the Injective Equitable Domination of Graphs
AUTHORS: Ahmad N. Alkenani, Hanaa Alashwali, Najat Muthana
KEYWORDS: Domination, Injective Equitable Domination, Injective Equitable Domination Number
JOURNAL NAME: Applied Mathematics, Vol.7 No.17, November 17, 2016
ABSTRACT: A dominating set D in a graph G is called an injective equitable dominating set (Inj-equitable dominating set) if for every , there exists such that u is adjacent to v and . The minimum cardinality of such a dominating set is denoted by and is called the Inj-equitable domination number of G. In this paper, we introduce the injective equitable domination of a graph and study its relation with other domination parameters. The minimal injective equitable dominating set, the injective equitable independence number , and the injective equitable domatic number are defined.
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