[1] L. Alex, N. Pullanhiyodan, H. K. Choykunimmal, On the weighted bond additive indices of some nanostructures, J. Disc. Math. Appl. 9 (4) (2024) 289–307 https:// doi.org/ 10.22061/
jdma.2024.11216.1092
[2] A. Alidadi, A. Parsian, H. Arianpoor, The minimum Sombor index for unicyclic graphs with fixed diameter, MATCH Commun. Math. Comput. Chem. 88 (2022) 561–572.
https://doi.org/10.46793/match.88-3.561A
[3] A. Alidadi, H. Arianpoor, A. Parsian, K. Paykan. Chemical applications of some new versions of Sombor index, Caspian Journal of Mathematical Sciences, 13(2)(2024) 352-367. https://doi:10.22080/cjms.2024.27756.1717
[4] S. Alikhani, N. Ghanbari, M. A. Dehghanizadeh, Elliptic Sombor energy of a graph, J. Disc. Math. Appl. 10 (2) (2025) 26–38. https://doi.org/10.22061/jdma.2024.11190.1089
[5] R. Cruz, J. Rada, Extremal values of the Sombor index in unicyclic and bicyclic graphs, J. Math. Chem. 59 (2021) 1098–1116. https://doi.org/10.1007/s10910-021-01232-8
[6] I. Gutman, Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem. 86 (2021) 11–16. https:// match.pmf.kg.ac.rs /electronic versions/ Match86/ n1/ match86n1 11-16.pdf
[7] M. Habibi, R. Singh, Proof of a Conjecture on Sombor Index, J. Disc. Math. Appl. 10(2) (2025) 157–160. https://doi.org/10.22061/jdma.2025.11904.1126
[8] A. A. S. A. Jamri, F. Movahedi, R. Hasni, R. Gobithaasan, M. H. Akhbari, Minimum Randic index of trees with fixed total domination number, Mathematics, 10 (20) (2022) #3729.
https://doi.org/10.3390/math10203729[9] H. Liu, Extremal problems on Sombor indices of unicyclic graphs with a given diameter, Comp.
Appl. Math. 41 (4) (2022) #138. https://doi.org/10.1007/s40314-022-01852-z
[10] I. Milovanovic, E. Milovanovi ´ c, M. Mateji ´ c, On some mathematical properties of Sombor indices, ´
Bull. Int. Math. Virtual Inst. 11 (2) (2021) 341–353. https://doi.org/10.7251/BIMVI2102341M
[11] M. Mohammadi, H. Barzegar, Bounds for Sombor index using topological and statistical indices,
J. Disc. Math. Appl. 10(1) (2025) 61-85. https://doi.org/10.22061/jdma.2025.11494.1107
[12] D. A. Mojdeh, M. Habibi, L. Badakhshian, Y. S. Rao, Zagreb indices of trees, unicyclic and bicyclic
graphs with given (total) domination, IEEE Access. (2019) 94143–94149. https:// doi.org/ 10.1109/ACCESS.2019.2927288
[13] I. Redzepovi ˇ c, Chemical applicability of Sombor indices, J. Serb. Chem. Soc. 86 (2021) 445–457. ´
https://doi.org/10.2298/JSC201215006R
[14] T. Reti, T. Do ´ sli ˇ c, A. Ali, On the Sombor index of graphs, Contrib. Math. 3 (2021) 11–18. ´
https://doi.org/10.47443/cm.2021.0006
[15] B. Senthilkumar, Y. B. Venkatakrishnan, S. Balachandran, Akbar Ali, Tariq A. Alraqad, Amjad E. Hamza, On the maximum Sombor index of unicyclic graphs with a fixed girth, J. Math. 2022 (2022)
#8202681, 8 pages. https://doi.org/10.1155/2022/8202681
[16] X. Sun, J. Du, On Sombor index of trees with fixed domination number, Appl. Math. Comput. 421 (2022) #126946. https://doi.org/10.1016/j.amc.2022.126946
[17] T. Zhou, Z. Lin, L. Miao, Sombor index of trees and unicyclic graphs with given maximum degree, Discret. Math. Lett. 7 (2021) 24–29. https://doi.org/ 10.47443/dml.2021.0035
[18] T. Zhou, Z. Lin, L. Miao, The extremal Sombor index of trees and unicyclic graphs with given matching number, J. Disc. Math. Sci. Crypto. 26 (1) (2022) 1–12. https:// doi.org/ 10.1080/
09720529.2021.2015090
)