International Journal of Fuzzy Mathematical Archive
  • Year: 2017
  • Volume: 14
  • Issue: 2

Some Types of Nodal and Edge Regular Anti Fuzzy Graph

1PG & Research Department of Mathematics, H.H. The Rajah's College, Pudukkottai-622 001, TamilNadu, India

2Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624 622, TamilNadu, India

*Corresponding Author

AMS Mathematics Subject Classification (2010): 05C62, 05E99, 05C07

Abstract

In this paper, we define e-nodal, v-nodal, uninodal and binodal anti fuzzy graph. We introduce the concept of edge regular and totally edge regular on anti fuzzy graph. We applied such concepts on some types of anti fuzzy graphs and obtained the results on them. The relations between fuzzy graph and anti fuzzy graph are discussed and the bounds on them are obtained.

Keywords

Anti fuzzy graph, fuzzy graph, vertex degree, edge degree