Strongly connected interval-valued fuzzy graphs

Title

Strongly connected interval-valued fuzzy graphs

Creator

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

Description

In interval-valued fuzzy graphs (IVFGs) strong paths need not exist between every two nodes in contrast with fuzzy graphs. Based on this, we define a particular class of interval-valued fuzzy graphs called strongly connected interval valued fuzzy graphs (SCIVFGs). A connected IVFG in which a strong path always exists between every two nodes is called a SCIVFG. We prove several sufficient conditions for an IVFG to be strongly connected. Finally we show that strong connectedness is preserved under isomorphism and co-weak isomorphism. 2020, Research Publication. All rights reserved.

Source

Advances in Mathematics: Scientific Journal, Vol-9, No. 9, pp. 7105-7116.

Date

2020-01-01

Publisher

Research Publication

Subject

Interval valued fuzzy graph; Strong arcs; Strong path; Strongly connected interval-valued fuzzy graphs

Coverage

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

Rights

Restricted Access

Relation

ISSN: 18578365

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.37418/amsj.9.9.61

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85090540935&doi=10.37418%2famsj.9.9.61&partnerID=40&md5=5fff5ee7db18df69a9fcdc2db5b3f410