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

Identifier

https://doi.org/10.7151/dmgaa.1480

https://www.scopus.com/pages/publications/105031151730?origin=resultslist