Cliques and fuzzy cliques in fuzzy graphs

Premchand S. Nair · Shou-Hsiung Cheng

41 citations0/0 files storedJoint IFSA World Congress and NAFIPS International Conference

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Fuzzy and Soft Set Theory Advanced Graph Theory Research Advanced Algebra and Logic

Abstract

The authors define the concept of a fuzzy clique. In the case of a fuzzy graph, the concept of a cycle and a fuzzy cycle has been studied. The aim of the paper is to present the concept of a clique and a fuzzy clique in fuzzy graphs, consistent with the definition of cycles and fuzzy cycles in fuzzy graphs. Various interesting properties of fuzzy cliques are presented. A complete characterization of the structure of the fuzzy clique is also presented.

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1965Fuzzy sets 1996Fuzzy sets 1996Cycles and cocycles of fuzzy graphs

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