Sombor index of zero-divisor graphs of commutative rings

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Atıf İçin Kopyala

GÜRSOY A., Ulker A., KIRCALI GÜRSOY N.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.30, sa.2, ss.231-257, 2022 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 30 Sayı: 2
• Basım Tarihi: 2022
• Doi Numarası: 10.2478/auom-2022-0028
• Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
• Sayfa Sayıları: ss.231-257
• İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the Sombor index of the zero-divisor graph of DOUBLE-STRUCK CAPITAL Z (n) which is denoted by Gamma(DOUBLE-STRUCK CAPITAL Z (n) ) for n is an element of {p(alpha), 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 Gamma(DOUBLE-STRUCK CAPITAL Z (n) ). Finally, we give Sombor index of product of rings of integers modulo n.