A study on the invariant intersection graph of a graph

Title

A study on the invariant intersection graph of a graph

Creator

Madhumitha, S.; Naduvath, Sudev

Description

Analyzing the structure of the automorphism groups of graphs, and investigating the properties of graphs that are constructed from algebraic structures are two important research topics in algebraic graph theory. Blending these two aspects of study, an algebraic intersection graph, called the invariant intersection graph of a graph, has been introduced in the literature. In this paper, we study certain properties of the invariant intersection graphs of graphs, and obtain some structural characterizations of these graphs, based on the automorphism group of the graph on which the invariant intersection graph is constructed. 2026 World Scientific Publishing Company.

Source

Asian-European Journal of Mathematics;Issue;;Article No.;2650012;

Date

01-01-2026

Publisher

World Scientific

Subject

automorphism group; fix of a permutation; Intersection graphs; invariant intersection graph; symmetric group

Coverage

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

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 17935571;

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.1142/S1793557126500129

https://www.scopus.com/pages/publications/105030706127?origin=resultslist