Abstract

In a simple, finite and undirected graph G with vertex set V and edge set E, Prof. Sampathkumar defined degree equitability among vertices of G. Two vertices u and v are said to be degree equitable if |deg(u) − deg(v)| ≤ 1. Equitable domination has been defined and studied in [7]. V.R.Kulli and B.Janakiram defined strong non - split domination in a graph [12]. In this paper, the equitable version of this new type of domination is studied

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