Order Sum Graph of a Group

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Published: Feb 1, 2023
DOI: https://doi.org/10.21123/bsj.2022.6480
Keywords:
Algebraic graphs, Center, Domination, Graph spectra, Order sum graphs. MSC2010: CXCL10, CXCL16, Date

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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

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

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How to Cite
1.
Order Sum Graph of a Group . Baghdad Sci.J [Internet]. 2023 Feb. 1 [cited 2025 Feb. 7];20(1):0181. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480
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Vol. 20 No. 1 (2023): Issue 1
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article
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How to Cite

1.
Order Sum Graph of a Group . Baghdad Sci.J [Internet]. 2023 Feb. 1 [cited 2025 Feb. 7];20(1):0181. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480
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