Cliques and fuzzy cliques in fuzzy graphs

P. S. Nair; Shih-Chuan Cheng

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Conference paper

Cliques and fuzzy cliques in fuzzy graphs

P. S. Nair and Shih-Chuan Cheng

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS, Vol.4, pp.2277-2280

Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Vancouver, BC, Canada, 07/25/2001 - 07/28/2001)

2001

Abstract

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In this paper we 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. Aim of this 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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Title: Cliques and fuzzy cliques in fuzzy graphs
Creators: P. S. Nair (Author) - Creighton University
Shih-Chuan Cheng (Author) - Department of Mathematics
Additional links: Voitila, Anssi; Jokiranta, Jutta; Smith, M.H.; Gruver, W.A.; Hall, L.O.; Ray, Sidhartha D.
Publication Details: Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS, Vol.4, pp.2277-2280
Conference: Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Vancouver, BC, Canada, 07/25/2001 - 07/28/2001)
Series: 4
Number of pages: 4
Identifiers: 991005929513102656
Academic Unit: Mathematics
Language: English
Resource Type: Conference paper

Cliques and fuzzy cliques in fuzzy graphs

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