Bounds for Sombor index using topological and statistical indices

Document Type : Full Length Article

Authors

1 Department of mathematics, Tafresh university.

2 Department of mathematics, Tafresh university, Tafresh, Iran

Abstract

‎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.

Graphical Abstract

Bounds for Sombor index using topological and statistical indices

Keywords

Main Subjects


Volume 10, Issue 1
March 2025
Pages 61-85
  • Receive Date: 26 November 2024
  • Revise Date: 12 January 2025
  • Accept Date: 15 January 2025
  • Publish Date: 01 March 2025