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Bounds for Sombor index using topological and statistical indices | ||
Journal of Discrete Mathematics and Its Applications | ||
مقاله 5، دوره 10، شماره 1، خرداد 2025، صفحه 61-85 اصل مقاله (411.86 K) | ||
نوع مقاله: Full Length Article | ||
شناسه دیجیتال (DOI): 10.22061/jdma.2025.11494.1107 | ||
نویسندگان | ||
Hasan Barzegar* 1؛ Maryam Mohammadi2 | ||
1Department of mathematics, Tafresh university. | ||
2Department of mathematics, Tafresh university, Tafresh, Iran | ||
تاریخ دریافت: 06 آذر 1403، تاریخ بازنگری: 23 دی 1403، تاریخ پذیرش: 26 دی 1403 | ||
چکیده | ||
In this study, we find some bounds for the Sombor index of a graph $G$ by some topological and statistical indices such as {\it arithmetic index}, {\it geometric index}, {\it arithmetic-geometric (AG) index}, {\it geometric-arithmetic (GA) index}, {\it symmetric division degree index (SDD(G))}, and some central and dispersion indices. The bounds can state estimated values and error intervals for the Somber index and show limits of accuracy. Error intervals are expressed as inequalities. | ||
کلیدواژهها | ||
Sombor index؛ topological indices؛ statistical indices؛ geometric-arithmetic index؛ arithmetic-geometric index | ||
آمار تعداد مشاهده مقاله: 80 تعداد دریافت فایل اصل مقاله: 90 |