Modified Sombor index of trees with a given diameter

Jahanbani A., Karimi A. T., Cancan M.

Boletim da Sociedade Paranaense de Matematica, cilt.43, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2025
  • Doi Numarası: 10.5269/bspm.62814
  • Dergi Adı: Boletim da Sociedade Paranaense de Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: 35B40, 35L70, Diameter of graphs, Modified Sombor index
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The modified Sombor index of a graph G is defined as the sum of weights 1/pd2u + d2v over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively. In this paper, we give some relations between the modified Sombor index and diameter of graphs.