ON L(2, 1)-ORDER SUM SIGNED GRAPH OF A FINITE GROUP
- Title
- ON L(2, 1)-ORDER SUM SIGNED GRAPH OF A FINITE GROUP
- Creator
- Bankapur, Divya; Naduvath, Sudev
- Description
- In this paper, we have constructed a color-induced signed graph of an algebraic graph, called the L(2, 1)-order sum signed graph of a group. Based on the nature of the group, the L(2, 1)-span of the order sum graph is obtained and the structural aspects of thus obtained L(2, 1)-order sum signed graph such as planarity, chordality, etc. have been investigated. We have also defined an automorphism which turns out to be the only possible automorphism on the graph and have investigated the structural aspects of the graph such as edge transitivity and vertex transitivity. Further, a line-signed graph of L(2, 1)-order sum signed graph, which is a line graph with a signing protocol defined for the edges, has also been introduced. We have also explored the regularity of the line-signed graph. 2025 Sciendo. All rights reserved.
- Source
- Discussiones Mathematicae - General Algebra and Applications;Volume;45;Issue;2;pp.281-293
- Date
- 01-01-2025
- Publisher
- Sciendo
- Subject
- L(2, 1)-coloring; L(2,1)-order sum signed graph; negative chordality; positive chordality; pseudo-planarity; signed graph homomorphism
- Coverage
- Bankapur D., Department of Mathematics, Christ University, Bangalore, India; Naduvath S., Department of Mathematics, Christ University, Bangalore, India
- Rights
- All Open Access; Gold Open Access; Green Open Access
- Relation
- ISSN: 15099415;
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Bankapur, Divya; Naduvath, Sudev, “ON L(2, 1)-ORDER SUM SIGNED GRAPH OF A FINITE GROUP,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/23759.
