Order Sum Graph of a Group

Javeria Amreen; Sudev Naduvath

doi:10.21123/bsj.2022.6480

Authors

Javeria Amreen Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, India. https://orcid.org/0000-0001-5243-102X
Sudev Naduvath Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, India. https://orcid.org/0000-0001-9692-4053

DOI:

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

Keywords:

Algebraic graphs, Center, Domination, Graph spectra, Order sum graphs. MSC2010: CXCL10, CXCL16, Date

Abstract

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.

Received 8/7/2021

Accepted 24/3/2022

Published Online First 20/7/2022

References

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Published

2023-02-01

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Vol. 20 No. 1 (2023): Issue 1

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Order Sum Graph of a Group . Baghdad Sci.J [Internet]. 2023 Feb. 1 [cited 2024 Apr. 28];20(1):0181. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480

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P-ISSN: 2078-8665 | E-ISSN: 2411-7986

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Journal: Baghdad Science Journal
Publisher: College of Science for Women/ University of Baghdad
Baghdad Sci. J. is peer-reviewed and open access
Print ISSN: 2078-8665
Electronic ISSN: 2411-7986
Publishing Frequency: Quarterly (from 2004 - 2021) Bi-monthly (from 2022) Monthly (from 2024)
Launched Date: 2004
Abbreviation: Baghdad Sci.J.
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© 2022 The Author(s). Published by College of Science for Women, University of Baghdad. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.