Cycle connectivity in fuzzy graphs

Authors:
Sunil Mathew;M. S. Sunitha
Affiliations:
Department of Mathematics, National Institute of Technology, Calicut, India;Department of Mathematics, National Institute of Technology, Calicut, India
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
Year:
2013

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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.