On strong extremal problems in fuzzy graphs

Article type: Research Article

Authors: Mathew, Jill K.^{a; *} | Mathew, Sunil^b

Affiliations: [a] Department of Mathematics, Federal Institute of Science and Technology, Angamaly, Kerala, India | [b] Department of Mathematics, National Institute of Technology, Calicut, India

Correspondence: [*] Corresponding author. Jill K. Mathew, Department of Mathematics, Federal Institute of Science And Technology, Angamaly, Kerala-683577, India. E-mail: jillkmathew@rediffmail.com.

Abstract: Strong distance in fuzzy graphs is introduced in this article. With respect to these distances, the concepts of center and self centered fuzzy graphs are introduced and their properties are discussed. A characterization for self centered fuzzy graphs using the max - max composition of the corresponding distance matrices is obtained. Central properties of fuzzy trees and blocks are also discussed.

Keywords: α-distance, β-distance, strong distance, self centered fuzzy graphs

DOI: 10.3233/IFS-151711

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2497-2503, 2016