Open Access Open Access  Restricted Access Subscription Access

Some Properties of Double Vertex Regular Fuzzy Graph


Affiliations
1 Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamil Nadu, India
2 Government Boys Higher Secondary School, Bhavani – 638 012, Tamil Nadu, India
 

In this paper, we define a new type of fuzzy graph obtained from crisp graph, named Double Vertex Fuzzy Graph (DVFG) and also discussed some properties of double vertex regular fuzzy graph.

Keywords

Double Vertex Fuzzy Graph, Order, Size, Regular Fuzzy Graph, Vertex Degree
User
Notifications
Font Size


  • Alison Northup. A Study of Semi-regular Graphs, Bachelors thesis, Stetson University, 2002.
  • Bondy JA and Murty USR. Graph Theory with Applications, MacMillan, London, 1979.
  • Nagoor Gani A and Radha K, On Regular Fuzzy Graphs, Journal of Physical Science. 2008; 12:33-40.
  • Pathinathan T. and J. Jesintha Rosline. Double layered fuzzy graph, Annals of Pure and Applied Mathematics. 2014; 8(1): 135-143.
  • Rosenfeld A. Fuzzy Graphs, Fuzzy sets and their Applications, L. A. Zadeh, K.S. Fu, M.Shimura, Eds., Academic press 1975: 77–95.

Abstract Views: 14

PDF Views: 5




  • Some Properties of Double Vertex Regular Fuzzy Graph

Abstract Views: 14  |  PDF Views: 5

Authors

P. Shakila Banu
Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamil Nadu, India
R. Akilandeswari
Government Boys Higher Secondary School, Bhavani – 638 012, Tamil Nadu, India
M. Madhubala
Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamil Nadu, India

Abstract


In this paper, we define a new type of fuzzy graph obtained from crisp graph, named Double Vertex Fuzzy Graph (DVFG) and also discussed some properties of double vertex regular fuzzy graph.

Keywords


Double Vertex Fuzzy Graph, Order, Size, Regular Fuzzy Graph, Vertex Degree

References





DOI: https://doi.org/10.15613/sijrs%2F2019%2Fv6i1%2F209347