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A correction to the $R_k$-construction for graphs with integer Sombor index | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 تیر 1405 اصل مقاله (290.29 K) | ||
| نوع مقاله: Short notes | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2026.31339.2821 | ||
| نویسنده | ||
| Luca Guerrini* | ||
| Department of Management, Polytechnic University of Marche, Piazzale Martelli 8, 60121 Ancona, Italy | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Sombor index؛ topological index؛ graph construction | ||
| مراجع | ||
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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. | ||
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