• INVERSE EQUITABLE DOMINATION IN GRAPHS

Sivakumar. S*, N. D. Soner

Abstract


Let be a graph with no isolated vertex. A classical observation in domination theory is that if is a minimum dominating set of , then is also a dominating set of . A set is an inverse dominating set of if is a dominating set of and for some minimum dominating set of . The inverse domination number of is the minimum cardinality among all inverse dominating sets of . In this paper, we introduce the the equitable inverse domination in a graph and begin an investigation of this concept, some of the properties and interesting results of this new parameter are obtained.

Keywords


Dominating set, Equitable dominating set, Inverse equitable dominating set, Inverse equitable domination number.

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