Extended Sombor indices

	Extended Sombor indices
Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 تیر 1404
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2025.29344.1951
نویسندگان
Sultan Ahmad؛ Rashid Farooq^*
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan
چکیده
In this paper, we present a novel perspective on vertex-degree-based topological indices. Established degree--based topological indices are based on adjacent vertices. One could contemplate including all pairs of vertices. Recently, Gutman introduced the Sombor indices. Here, we introduce the extended versions of the Sombor indices including all pairs of vertices in the Sombor indices formula. We explore the fundamental mathematical properties of these extended indices, establish upper and lower bounds in terms of some graph parameters, and find the sharp bounds. Additionally, we determine the extremal chemical trees with maximum and minimum extended Sombor index. Moreover, the role of extended Sombor indices in describing structure–property relationships is demonstrated.
کلیدواژه‌ها
Sombor indices؛ extended Sombor indices؛ chemical trees

آمار تعداد مشاهده مقاله: 5

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