ON THE HARARY INDEX OF Γ(Zn)

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

International Journal of Maps in Mathematics, cilt.7, sa.2, ss.122-137, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2024
  • Dergi Adı: International Journal of Maps in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.122-137
  • Anahtar Kelimeler: Distance in graph, Graph theory, Harary index, Topological indeces, Zero-divisor graph
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.