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

A study on the effective edges in the cartesian product of fuzzy graphs

1Department of Mathematics, Government Arts College, Melur, 625 106. Tamilnadu, India. E-mail: pons_mdu1969@yahoo.com

2Department of Mathematics, BCM. Government Women's Polytechnic College, Ettayapuram, Tamilnadu, India. E-mail: selvammag@gmail.com

*Corresponding Author: A. Selvam, Department of Mathematics, BCM. Government Women's Polytechnic College, Ettayapuram, Tamilnadu, India. E-mail: selvammag@gmail.com

AMS classification: 05C72

Abstract

In this paper we discuss the number of effective edges in the Cartesian product of fuzzy graphs. Some basic theorems and results are obtained on effective edges. Based on the results we find the effective edge domination number for Cartesian product of complete fuzzy graphs.

Keywords

Fuzzy graph, complete fuzzy graph, Cartesian product, Domination number, Effective edge domination