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In this paper, we investigate the Sombor index of the zero-divisor graph of ℤ<italic>n</italic> which is denoted by Γ(ℤ<italic>n</italic>) for <italic>n</italic> ∈ {<italic>pα, pq, p</italic>2<italic>q, pqr</italic>} where <italic>p, q</italic> and <italic>r</italic> are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤ<italic>n</italic>). Finally, we give Sombor index of product of rings of integers modulo <italic>n</italic>.
</abstract>

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

Sombor index of zero-divisor graphs of commutative rings

Department of Mathematics and Computer Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Sombor index of zero-divisor graphs of commutative rings"}

In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are...

Sombor index of zero-divisor graphs of commutative rings

Publié en ligne: 02 juin 2022

Pages: 231 - 257

Reçu: 11 août 2021

Accepté: 30 nov. 2021

DOI: https://doi.org/10.2478/auom-2022-0028

Mots clés
Topological indices, Sombor index, zero-divisor graph, vertex degree, algorithm

© 2022 Arif Gürsoy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Sombor index of zero-divisor graphs of commutative rings

Publié en ligne: 02 juin 2022

Pages: 231 - 257

Reçu: 11 août 2021

Accepté: 30 nov. 2021

DOI: https://doi.org/10.2478/auom-2022-0028

Mots clésTopological indices, Sombor index, zero-divisor graph, vertex degree, algorithm

© 2022 Arif Gürsoy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Topological indices, Sombor index, zero-divisor graph, vertex degree, algorithm