ON THE HARARY INDEX OF Γ(Zn)


GÜRSOY A., ÜLKER A., Kircali Gürsoy N.

International Journal of Maps in Mathematics, vol.7, no.2, pp.122-137, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2024
  • Journal Name: International Journal of Maps in Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.122-137
  • Keywords: Distance in graph, Graph theory, Harary index, Topological indeces, Zero-divisor graph
  • Istanbul Kültür University Affiliated: Yes

Abstract

In this work, the Harary index of zero-divisor graphs of rings Zn are calculated when n is a member of the set {2p, p2, pλ, pq, p2 q, pqr} where p, q and r are distinct prime numbers and λ is an integer number. We give the formulas for computing the Harary index of Γ(Zn). Moreover, the Harary index of graphs for products of rings were computed.