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, vol.46, no.Special Issue 2, pp.1845-1863, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: Special Issue 2
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3236
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1845-1863
  • Keywords: Algorithm, Forgotten topological index, Topological indices, Vertex degree, Zero-divisor graph
  • Istanbul Kültür University Affiliated: No

Abstract

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).