Modified Sombor index of trees with a given diameter
DOI:
https://doi.org/10.5269/bspm.62814Abstract
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.References
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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.
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Published
2025-07-13
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How to Cite
Jahanbani, A., 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
