On the Non-Inverse Graph of a Group
- Title
- On the Non-Inverse Graph of a Group
- Creator
- Amreen J.; Naduvath S.
- Description
- Let (G, ?) be a finite group and S = {u G|u u-1}, then the inverse graph is defined as a graph whose vertices coincide with G such that two distinct vertices u and v are adjacent if and only if either u ? v S or v ? u S. In this paper, we introduce a modified version of the inverse graph, called i?-graph associated with a group G. The i?-graph is a simple graph with vertex set consisting of elements of G and two vertices x, y ? are adjacent if x and y are not inverses of each other. We study certain properties and characteristics of this graph. Some parameters of the i?-graph are also determined. 2022 Javeria Amreen et al., published by Sciendo.
- Source
- Discussiones Mathematicae - General Algebra and Applications, Vol-42, No. 2, pp. 315-325.
- Date
- 2022-01-01
- Publisher
- Sciendo
- Subject
- inverse graph; non-inverse graph
- Coverage
- Amreen J., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 15099415
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Amreen J.; Naduvath S., “On the Non-Inverse Graph of a Group,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/14890.