Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Detour Eccentric Domination in Graphs

1P.G. and Research Department of Mathematics, Jamal Mohammed College, Tiruchirappalli, Tamil Nadu620020, India

2Department of Mathematics, Dhanalakshmi Srinivasan Engineering College, Perambalur, Tamil Nadu621107, India

*Corresponding Author: R. Priyadharshini, Department of Mathematics, Dhanalakshmi Srinivasan Engineering College, Perambalur, Tamil Nadu 621107, India. E-mail: aisupriyadharshini@gmail.com

**E-mail: amismayil1973@yahoo.co.in

Abstract

In this paper, the detour eccentric point set and detour eccentric dominating sets are defined. The detour eccentric domination numbers are also defined. The detour eccentric domination numbers for some standard graphs are determined. Also some theorems related to detour eccentric domination number are stated and proved.

Keywords

Dominating set, Domination number, Detour eccentric set, Dtour eccentric dominating set, Detour eccentric domination number, 05C12, 05C69