Chartrand, G. and Lesniak, L. (2005) Graphs and Diagraphs. 4th Edition, CRC Press, Boca Raton. - References

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Chartrand, G. and Lesniak, L. (2005) Graphs and Diagraphs. 4th Edition, CRC Press, Boca Raton.

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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