Sombor index of zero-divisor graphs of commutative rings

Makaleler > Tam Makale · 2022

Yazarlar: Arif GÜRSOY, Alper Ulker, Necla Kircali Gursoy

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2022, cilt 30, ss 231-257

DOI: 10.2478/auom-2022-0028

Özet

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, p 2 q, 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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