Cycle connectivity in fuzzy graphs

Issue title: Recent Advances in Soft Computing: Theories and Applications

Article type: Research Article

Authors: Mathew, Sunil | Sunitha, M.S.

Affiliations: Department of Mathematics, National Institute of Technology, Calicut, India

Note: [] Corresponding author. Sunil Mathew, Department of Mathematics, National Institute of Technology, Calicut - 673 601, India. Tel.: +91 0495 2286506; Fax: +91 0495 2287250; E-mail: [email protected] (Sunil Mathew) and E-mail: [email protected] (M.S. Sunitha).

Abstract: In this article, the concept of cycle connectivity of a fuzzy graph is introduced. Cycle connectivity of fuzzy trees, fuzzy cycles and complete fuzzy graphs are obtained. Also the concept of cyclic cutnodes and cyclic bridges in fuzzy graphs are introduced. A condition for complete fuzzy graphs to possess cyclic cutnodes is obtained. Most of the results in this article are true for graphs also.

Keywords: Fuzzy graph, complete fuzzy graph, Cycle connectivity, cyclic bridge, cyclic cutnode

DOI: 10.3233/IFS-2012-0573

Journal: Journal of Intelligent & Fuzzy Systems, vol. 24, no. 3, pp. 549-554, 2013