Invariant intersection graph of a graph

Title

Invariant intersection graph of a graph

Creator

Madhumitha, S.; Naduvath, Sudev

Description

Studies in algebraic graph theory showcase the interplay between group theory and graph theory by defining graphs on groups, investigating their properties, and also by analysing the automorphism groups that emerge from the graphs. In this article, we introduce the idea of constructing an algebraic derived graph; that is, constructing a graph based on the algebraic properties of a graph, by introducing the invariant intersection graph of a graph, constructed based on the automorphism group of a graph. Here, we introduce the graph construction and initiate an investigation on the structure of the invariant intersection graph with respect to the graph and its automorphism group. 2025, Taru Publications. All rights reserved.

Source

Journal of Discrete Mathematical Sciences and Cryptography;Volume;28;Issue;6;pp.2323-2335

Date

01-01-2025

Publisher

Taru Publications

Subject

Automorphism group; Intersection graphs; Invariant intersection graph; Invariant set

Coverage

Madhumitha S., Department of Mathematics, Christ University, Karnataka, Bangalore, India; Naduvath S., Department of Mathematics, Christ University, Karnataka, Bangalore, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 9720529;

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.47974/JDMSC-2235

https://www.scopus.com/pages/publications/105017088702?origin=resultslist