Isolated Signed Total Dominating Function Of Graphs

Document Type : Primary Research paper

Authors

1 Research Scholar, Reg. No. : 17223162092041, Dept. of Mathematics,(M S University, Tirunelveli) Scott Christian College, Nagercoil, 629003, Tamil Nadu, India

2 Associate Professor, Department of Mathematics, Scott Christian College, Nagercoil, 629003, Tamil Nadu, India

Abstract

An isolated signed total dominating function (ISTDF) of a graph G is a function f : V (G) → {−1,+1} such that P f(u) ≥ 1 for every vertex v ∈ V (G) and for at u∈N(v) least one vertex of w ∈ V (G), f(N(w)) = +1. An isolated signed total domination number of G, denoted by γist(G), is the minimum weight of an isolated signed total dominating function of G. In this paper, we study some properties of ISTDF.

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