Computing forgotten topological index of zero-divisor graphs of commutative rings

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GÜRSOY A., Gürsoy N. K., Ülker A.

Turkish Journal of Mathematics, cilt.46, sa.Special Issue 2, ss.1845-1863, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: Special Issue 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3236
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1845-1863
  • Anahtar Kelimeler: Algorithm, Forgotten topological index, Topological indices, Vertex degree, Zero-divisor graph
  • İstanbul Kültür Üniversitesi Adresli: Hayır

Özet

The main objective of this paper is to calculate the forgotten topological index of the zero-divisor graph of Zn. Let p, q and r be distinct prime numbers. We calculate the forgotten topological index of the ring Γ(Zn) where n = pα, pq, p2q, p2q2, pqr. Also, we study the forgotten topological index of the product of rings of integers modulo n. We construct a polynomial algorithm to compute the forgotten topological index of Γ(Zn).