Modified Sombor index of trees with a given diameter
The modified Sombor index of a graph $G$ is defined as the sum of weights $1/\sqrt{d^{2}_u+d^{2}_v}$ over all edges $uv$ of $G$, where $d_u$ and $d_v$ are the degreesof the vertices $u$ and $v$ in $G$, respectively. In this paper, we give some relations betweenthe modified Sombor index and diameter of graphs.
Authors
- Murat Cancan (ORCID: https://orcid.org/0000-0002-8606-2274)
- Amir Taghi Karimi
- Akbar Jahanbani
Institutions
- Van Yüzüncü Yıl Üniversitesi (TR)
- Azarbaijan Shahid Madani University (IR)
- Payame Noor University (IR)
Publication Details
- Journal
- Boletim da Sociedade Paranaense de Matemática
- Published
- 2025-07-13
- DOI
- https://doi.org/10.5269/bspm.62814
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00