Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2018
  • Volume: 37e
  • Issue: 2

Domination in cartesian product of fuzzy graphs using strong ARC

1Research Supervisor and Assistant Professor of Mathematics, Government Arts College, Melur, Madurai, Tamil Nadu, 625106, India

2Assistant Professor of Mathematics, Theni Kammavar Sangam College of Arts and Science, Theni, Tamil Nadu, 625534, India

*Corresponding Author: V. Senthilkumar, Assistant Professor of Mathematics, Theni Kammavar Sangam College of Arts and Science, Theni, Tamil Nadu, 625534, India. E-mail: 1984senthilvkumar@gmail.com

AMS classification: 05C72

Abstract

In this paper the domination in fuzzy graphs by using strong arcs are generalized and established the domination concept in Cartesian product on standard fuzzy graphs using strong arcs and non strong arcs.

Keywords

Fuzzy graph, Cartesian product, Domination number, Effective edge domination, Strong arc, Non strong arc, Strong arc domination