Modified Sombor index of trees with a given diameter
Boletim da Sociedade Paranaense de Matematica, cilt.43, 2025 (ESCI, Scopus)
- 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.