• K. Ameenal Bibi
• G. Vinu Priya
• P. Rajakumari

Let G = (V, E) be a simple, finite, undirected and connected graph. A non-empty subset D of a graph V (G) is called an equitable dominating set of a graph G if for every v ϵ V-D, there exists a vertex u ϵ D such that uv ϵ E(G) and |deg⁡(u)- deg⁡(v)|≤1. The minimum cardinality of a minimal equitable dominating set is called an domination number of G and it is denoted by γ_e(G). Let G = (V, E) be a graph with no isolated vertices. If D is the equitable dominating set G then V-D is also an equitable dominating set of G. A non-empty subset D^'⊆V-D is an inverse equitable dominating set of G if D^' is an equitable dominating set of G. The inverse equitable domination number of G is the minimum cardinality among all the minimal inverse equitable dominating sets of G. In this paper, we established equitable and inverse equitable domination numbers for some families of graphs.

Let G = (V, E) be a simple, finite, undirected and connected graph. A non-empty subset D of a graph V (G) is called an equitable dominating set of a graph G if for every v ϵ V-D, there exists a vertex u ϵ D such that uv ϵ E(G) and |deg⁡(u)- deg⁡(v)|≤1. The minimum cardinality of a minimal equitable dominating set is called an domination number of G and it is denoted by γ_e(G). Let G = (V, E) be a graph with no isolated vertices. If D is the equitable dominating set G then V-D is also an equitable dominating set of G. A non-empty subset D^'⊆V-D is an inverse equitable dominating set of G if D^' is an equitable dominating set of G. The inverse equitable domination number of G is the minimum cardinality among all the minimal inverse equitable dominating sets of G. In this paper, we established equitable and inverse equitable domination numbers for some families of graphs.

"RESULTS ON THE EQUITABLE DOMINATION AND INVERSE EQUITABLE DOMINATION NUMBERS FOR SOME CLASSES OF GRAPHS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 7, page no.106-112, July-2018, Available :http://www.jetir.org/papers/JETIR1807021.pdf

"RESULTS ON THE EQUITABLE DOMINATION AND INVERSE EQUITABLE DOMINATION NUMBERS FOR SOME CLASSES OF GRAPHS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 7, page no. pp106-112, July-2018, Available at : http://www.jetir.org/papers/JETIR1807021.pdf