Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics

  • Year: 2019
  • Volume: 38E
  • Issue: 2

A study on strong arcs in fuzzy graphs and union of fuzzy graphs*

1Research Supervisor and Assistant Professor of Mathematics, Government Arts College, Melur, Tamilnadu -625106, India.

2Lecturer in Mathematics, B.C.M. Government Women’s Polytechnic College, Ettayapuram, Tamilnadu, India.

*E-mail: pons_mdu1969@yahoo.com,

**E-mail: selvammag@gmail.com

Abstract

In the present work, we discuss the union operation and strong arc domination on fuzzy graphs. We determine the bounds for the strong arc domination number of fuzzy graphs. Further, this new domination parameter is discussed in the union of fuzzy graphs. Some basic theorems and results are obtained in the union of fuzzy graphs.

Keywords

Fuzzy graph, Strong arc, Domination number, Effective edge domination, Strong arc domination number, 05C72