On interval valued fuzzy graphs associated with a finite group

Title

On interval valued fuzzy graphs associated with a finite group

Creator

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

Description

We associate a particular type of interval-valued fuzzy graph(IVFG) called interval-valued fuzzy identity graph(IVFIG) with every finite group and study its various properties. We show that IVFIG associated with a finite group is not unique. We also show that every IVFIG associated with a finite group is a strong IVFG. It does not contain any feeble or weak arcs. Further, it is strongly connected. We prove that the IVFIG associated with a finite group in which every element is self inversed is an interval-valued fuzzy tree and the IVFIG of Zn (n is odd) under addition modulo n is the disjoint union of interval-valued fuzzy cycles. 2020 Author(s).

Source

AIP Conference Proceedings, Vol-2236

Date

2020-01-01

Publisher

American Institute of Physics Inc.

Coverage

Philip A.M., Assumption College, Changanacherry, Kerala, India; Kalayathankal S.J., Kuriakose Elias College, Mannanam, Kerala, India; Kureethara J.V., CHRIST (Deemed to Be University), Bangalore, Karnataka, India

Rights

Restricted Access

Relation

ISSN: 0094243X; ISBN: 978-073541995-7

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1063/5.0006810

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