Sombor index of zero-divisor graphs of commutative rings

Arif Gürsoy; Alper Ülker; Necla Kircali Gürsoy

doi:10.2478/auom-2022-0028

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Sombor index of zero-divisor graphs of commutative rings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 2 (May 2022)

By: Arif Gürsoy , Alper Ülker and Necla Kircali Gürsoy

Open Access

|Jun 2022

Abstract

In this paper, we investigate the Sombor index of the zero-divisor graph of ℤ_n which is denoted by Γ(ℤ_n) for n ∈ {p^α, pq, p²q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤ_n). Finally, we give Sombor index of product of rings of integers modulo n.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0028 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 231 - 257

Submitted on: Aug 11, 2021

Accepted on: Nov 30, 2021

Published on: Jun 2, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2022 Arif Gürsoy, Alper Ülker, Necla Kircali Gürsoy, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 2 (May 2022)