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
Collection
Citation
Philip A.M.; Kalayathankal S.J.; Kureethara J.V., “On interval valued fuzzy graphs associated with a finite group,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/20696.