On the maximal Sombor index of quasi-tree graphs

Ruiting Zhang, Huiqing Liu, Yibo Li

The Sombor index $SO(G)$ of a graph $G$ is the sum of the edge weights $\sqrt{d_G^2(u)+d_G^2(v)}$ of all edges $uv$ of $G$, where $d_G(u)$ denotes the degree of the vertex $u$ in $…