The interval valued fuzzy graph associated with a Crisp graph

Title

The interval valued fuzzy graph associated with a Crisp graph

Creator

Philip A.M.; Kalayathankal S.J.; Kureethara J.V.

Description

We define the interval valued fuzzy graph (IVFG) associated with a crisp graph based on the degrees of the nodes of the crisp graph and study its various properties. The nature of arcs of the IVFG associated with a crisp graph can be determined if the adjacency matrix of the crisp graph is given. We show that the IVFG associated with a regular graph is regular, totally regular, edge regular and totally edge regular, but the IVFG associated with a complete graph is not a complete IVFG. We prove that the IVFG associated with Cn, n ? 3 is an interval valued fuzzy cycle and the IVFG associated with the wheel graph Wn, n ? 5 is an interval valued fuzzy tree. 2021 Forum-Editrice Universitaria Udinese SRL. All rights reserved.

Source

Italian Journal of Pure and Applied Mathematics, No. 45, pp. 205-215.

Date

2021-01-01

Publisher

Forum-Editrice Universitaria Udinese SRL

Subject

Crisp graph; Interval valued fuzzy graph; Regular graph

Coverage

Philip A.M., Department of Mathematics, Assumption College, Kerala, India; Kalayathankal S.J., Jyothi Engineering College, Cheruthuruthy Thrissur, Kerala, India; Kureethara J.V., Christ University, Bangalore, Karnataka, India

Rights

Restricted Access

Relation

ISSN: 11268042

Format

Online

Language

English

Type

Article

Identifier

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105092349&partnerID=40&md5=9f5baee8680c3bf81867a43ec3029797