Order Sum Graph of a Group

Title

Order Sum Graph of a Group

Creator

Amreen J.; Naduvath S.

Description

The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained. 2023 University of Baghdad. All rights reserved.

Source

Baghdad Science Journal, Vol-20, No. 1, pp. 181-188.

Date

2023-01-01

Publisher

University of Baghdad

Subject

Algebraic graphs; Center; Domination; Graph spectra; Order sum graphs

Coverage

Amreen J., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India

Rights

All Open Access; Gold Open Access

Relation

ISSN: 20788665

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.21123/bsj.2022.6480

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