Abstract
Based on elementary geometry, Gutman proposed the novel graph invariant called the Sombor index, which was defined as \(SO(G)=\sum\limits_{uv\in E(G)}\sqrt{d_{u}^{2}+d_{v}^2}\), 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.
