Types of Arcs in Complement of a Fuzzy Graph

  • K.R. Sandeep Narayan Department of Mathematics, Jyothi Engineering College, Thrissur 679 531
  • M.S. Sunitha Department of Mathematics, National Institute of Technology, Kozhikode 673 601


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.


[1] 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.

[2] K.R. Bhutani and A. Rosenfeld, "Fuzzy end nodes in fuzzy graphs," presented at Information Sciences, 2003, pp. 323-326.

[3] 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.

[4] M.S. Sunitha & A. Vijayakumar. “A characterization Of Fuzzy Trees,” presented at Information Sciences, 1999, pp.293-300.

[5] 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.

[6] M.S. Sunitha and A. Vijayakumar. “Blocks in Fuzzy Graphs.” The Journal of Fuzzy Mathematics, vol. 13, vo. 1, pp. 13-23, 2005.

[7] S. Mathew and M.S. Sunitha. "Types of arcs in a fuzzy graph," presented at Information Sciences, 2009, pp.1760-1768.

[8] S. Mathew and M.S. Sunitha. “Node Connectivity & Arc Connectivity of Fuzzy Graphs,” presented at Information Sciences, 2010

[9] J.N. Mordeson and P.S. Nair, Fuzzy Graphs and Fuzzy Hypergraphs, Physica-Verlag, 2000.
How to Cite
NARAYAN, K.R. Sandeep; SUNITHA, M.S.. Types of Arcs in Complement of a Fuzzy Graph. Mapana Journal of Sciences, [S.l.], v. 10, n. 2, p. 75-81, nov. 2011. ISSN 0975-3303. Available at: <http://journals.christuniversity.in/index.php/mapana/article/view/8>. Date accessed: 26 june 2017.
Research Articles