<abstract xmlns="http://www.w3.org/1999/xhtml">

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

Online veröffentlicht: 02. Juni 2022

Seitenbereich: 231 - 257

Eingereicht: 11. Aug. 2021

Akzeptiert: 30. Nov. 2021

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

Schlüsselwörter
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

Online veröffentlicht: 02. Juni 2022

Seitenbereich: 231 - 257

Eingereicht: 11. Aug. 2021

Akzeptiert: 30. Nov. 2021

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

SchlüsselwörterTopological 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.

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