Vol. 14 No. 3 (2015): Mapana Journal of Sciences
Research Articles

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

  • Pious Femlin,
  • Joseph Mayamma
Pious Femlin
Department of Mathematics, Christ University, Bangalore-560029, India
Bio
Joseph Mayamma
Department of Mathematics, Christ University, Bangalore-560029, India;
Bio
DOI: https://doi.org/10.12723/mjs.34.4

Published 2021-08-28

Keywords

  • Domination,
  • Independent domination,
  • Efficient dominating set,
  • Strong equality of domination parameters

Copyright (c) 2015

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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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