Maximum Diminished Sombor Index of Molecular Trees with a Perfect Matching

Fei Guo, Fangxia Wang

The diminished Sombor index $(DSO)$ of a graph $G$, introduced by Rajathagiri, is defined as $$DSO(G)=\sum _{uv\in E}\frac{\sqrt{d_u^2+d_v^2}}{d_u+d_v},$$ where $d_u$ and $d_v$ are…