Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 Articles in Press 2026 07 12 A correction to the $R_k$-construction for graphs with integer Sombor index 15199 10.22049/cco.2026.31339.2821 EN Luca Guerrini Department of Management, Polytechnic University of Marche, Piazzale Martelli 8, 60121 Ancona, Italy Journal Article 2025 12 18 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. https://comb-opt.azaruniv.ac.ir/article_15199_a4217e79c8a574bba94158ef9710fb13.pdf