Bounds for Sombor index using topological and statistical indices

نویسندگان
Barzegar, Hasan ID 1
Mohammadi, Maryam ID 2

1 Department of Mathematics, Tafresh University, Tafresh 39518-79611, I. R. Iran

2 Department of Mathematics, Tafresh University, Tafresh 39518-79611, I. R. Iran

doi
10.22061/jdma.2025.11494.1107
چکیده

‎In this study‎, ‎we find some bounds for the Sombor index of a graph‎ ‎$G$‎ by some topological and statistical indices such as arithmetic index}, ‎geometric index, ‎‎it arithmetic-geometric (AG) index‎, ‎geometric-arithmetic (GA) index‎, ‎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