Modified Sombor index of trees with a given diameter
DOI:
https://doi.org/10.5269/bspm.62814Resumo
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 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.Referências
1. H. Chen, W. Li, J. Wang, Extremal values on the Sombor index of trees, MATCH Commun. Math. Comput. Chem., 87 (2022), 23–49.
2. K. C. Das, A. S. Cevik, I. N. Cangul, Y. Shang, On Sombor index, Symmetry., 13 (2021), 140.
3. I. Gutman, Geometric approach to degree-based topological indices: Sombor indices, it MATCH Commun. Math. Comput. Chem., 86 (2021), 11–16.
4. Y. Huang, H. Liu, Bounds of modified Sombor index, spectral radius and energy, AIMS Mathematics. 6 (2021), 11263-11274.
5. V. R. Kulli, I. Gutman, Computation of Sombor indices of certain networks, SSRG Int. J. Appl. Chem., 8(2021), 1–5.
6. J. V. Kureethara, A. Asok, I. N. Cangul, Inverse problem for the forgotten and the hyper Zagreb indices of trees, Commun. Comb. Optim., 7 (2022), 203–209.
7. H. Liu, L. You, Y. Huang, Ordering chemical graphs by Sombor indices and its applications, MATCH Commun. Math. Comput. Chem. 87 (2022), 5–22.
8. I. Milovanovic, M. Matejic, E. Milovanoviæ, R. Khoeilar, A note on the first Zagreb index and coindex of graphs, Commun. Comb. Optim., 6 (2021), 41–51.
9. I. Redzepovivc, Chemical applicability of Sombor indices, J. Serb. Chem. Soc., 86 (2021), 445–457.
2. K. C. Das, A. S. Cevik, I. N. Cangul, Y. Shang, On Sombor index, Symmetry., 13 (2021), 140.
3. I. Gutman, Geometric approach to degree-based topological indices: Sombor indices, it MATCH Commun. Math. Comput. Chem., 86 (2021), 11–16.
4. Y. Huang, H. Liu, Bounds of modified Sombor index, spectral radius and energy, AIMS Mathematics. 6 (2021), 11263-11274.
5. V. R. Kulli, I. Gutman, Computation of Sombor indices of certain networks, SSRG Int. J. Appl. Chem., 8(2021), 1–5.
6. J. V. Kureethara, A. Asok, I. N. Cangul, Inverse problem for the forgotten and the hyper Zagreb indices of trees, Commun. Comb. Optim., 7 (2022), 203–209.
7. H. Liu, L. You, Y. Huang, Ordering chemical graphs by Sombor indices and its applications, MATCH Commun. Math. Comput. Chem. 87 (2022), 5–22.
8. I. Milovanovic, M. Matejic, E. Milovanoviæ, R. Khoeilar, A note on the first Zagreb index and coindex of graphs, Commun. Comb. Optim., 6 (2021), 41–51.
9. I. Redzepovivc, Chemical applicability of Sombor indices, J. Serb. Chem. Soc., 86 (2021), 445–457.
Downloads
Publicado
2025-07-13
Edição
Seção
Artigos
Licença
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
Como Citar
jahanbani, akbar, Karimi, A. T. ., & Cancan, M. (2025). Modified Sombor index of trees with a given diameter. Boletim Da Sociedade Paranaense De Matemática, 43, 1-4. https://doi.org/10.5269/bspm.62814
