A correction to the $R_k$-construction for graphs with integer Sombor index

Document Type : Short notes

Author

Department of Management, Polytechnic University of Marche, Piazzale Martelli 8, 60121 Ancona, Italy

Abstract

In this short note, we report an error in the proof of Theorem 1 of Noor A'lawiah Abd Aziz, which concerns the $R_k$-construction for generating graphs with integer Sombor index. We provide a corrected proof and the corresponding formula. Importantly, we verify that the main conclusion of the theorem remains valid despite this correction.

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[1] N. A’lawiah Abd Aziz, A note on graphs with integer Sombor index, Commun. Comb. Optim. 11 (2026), no. 1, 205–209.
https://doi.org/10.22049/cco.2024.29474.2013
[2] Ivan Gutman, Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem. 86 (2021), no. 1, 11–16.