Research Articles
Types of Arcs in Complement of a Fuzzy Graph
Published 2021-08-26
Copyright (c) 2011
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Abstract
Connectivity has important role in the area of applications of fuzzy graphs such as fuzzy neural networks and clustering. In this paper different types of arcs such as α, β, δ and fuzzy bonds are analyzed in a fuzzy graph G and its complement.References
- A. Rosenfeld. "Fuzzy graphs" in Fuzzy Sets and their Applications to Cognitive and Decision Processes, Zadeh, L.A., Fu, K.S., Tanaka, K., Shimura, M. Eds. New York: Academic Press, 1975, pp. 77–95.
- K.R. Bhutani and A. Rosenfeld, "Fuzzy end nodes in fuzzy graphs," presented at Information Sciences, 2003, pp. 323-326.
- K.R. Bhutani, J. Mordeson and A. Rosenfeld. “On Degrees of End Nodes and Cut Nodes in Fuzzy Graphs.” Iranian Journal of Fuzzy Systems, vol I, no. 1, pp. 57-64, 2004.
- M.S. Sunitha & A. Vijayakumar. “A characterization Of Fuzzy Trees,” presented at Information Sciences, 1999, pp.293-300.
- M.S. Sunitha and A. Vijayakumar. “Complement of a Fuzzy Graph,” Indian Journal of Pure and Applied Mathematics, vol. 33, no. 9, pp.451-1464, 2002.
- M.S. Sunitha and A. Vijayakumar. “Blocks in Fuzzy Graphs.” The Journal of Fuzzy Mathematics, vol. 13, vo. 1, pp. 13-23, 2005.
- S. Mathew and M.S. Sunitha. "Types of arcs in a fuzzy graph," presented at Information Sciences, 2009, pp.1760-1768.
- S. Mathew and M.S. Sunitha. “Node Connectivity & Arc Connectivity of Fuzzy Graphs,” presented at Information Sciences, 2010
- J.N. Mordeson and P.S. Nair, Fuzzy Graphs and Fuzzy Hypergraphs, Physica-Verlag, 2000.