On Equality and Strong Equality of Domination Number and Independent Domination Number in Graphs

descriptionPublicationkeyboard_double_arrow_right Article 19 Aug 2015Publisher:Christ University BangaloreJournal:Mapana - Journal of Sciences, volume 14, pages 73-82 (issn: 0975-3303, eissn: 0975-3303,

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Authors: Pious Femlin; Joseph Mayamma;

doi: 10.12723/mjs.34.4

On Equality and Strong Equality of Domination Number and Independent Domination Number in Graphs

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Abstract

In this paper we explore graphs having same domination number and independent domination number . Such graphs are denoted as ( , )-graphs. Several families of ( , )-graphs have been constructed. The realization problem for graphs with = = a for any given positive integer a has been solved. Furthermore, properties of graphs in which every -set is a -set has been investigated.

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