Abstract

Connected Two Out Degree Equitable Domination Number of Semi Total-point Graph

M. S. Mahesh and P. Namasivayam

Department of Mathematics, Francis Xavier Engineering College, Tirunelveli, Tamil Nadu, INDIA. PG and Research Department of Mathematics, The M.D.T. Hindu College, Tirunelveli, Tamil Nadu, INDIA.

ABSTRACT

Let G= (V, E) be a simple graph. Let D A dominating set in a graph G is called connected two out degree equitable dominating set if for any two vertices u,v∈ D, |𝑜𝑑𝐷(𝑢)−𝑜𝑑𝐷(𝑣)|≤2, and the induced sub graph is connected The minimum cardinality of a connected two-out degree equitable dominating set is called connected two-out degree equitable domination number, and is denoted by 𝛾𝑛𝑐2𝑜𝑒(G). In this paper connected two-out degree equitable domination number for semi total-point graph. AMS Classification: 05C9.

Keywords :two-out degree, equitable, Domination number, semi total-point graph

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