Extremal Sombor Indices of Tetracyclic (Chemical) Graphs

Abstract

Based on elementary geometry, Gutman proposed the novel graph invariant called the Sombor index, which was defined as, where d u denotes the degree of vertex u.It has been proved that the Sombor index could predict some physicochemical properties.In this paper, we first give the classification of non-pendent tetracyclic (chemical) graphs with respect to the Sombor index, and we determine the minimum Sombor indices of tetracyclic (chemical) graphs.

Topics & Concepts