2026/07/19 by Meysam Taheri-Dehkordi, Amir Hossein Nokhodkar, Gholam Hossein Fath-Tabar
Mathematics · #math.GM
The Diminished Sombor index (DSO) of a simple graph G is a recently introduced degree-based topological index, defined as DSO(G)= ∑uv∈ E(G) \frac√(du2+dv2) du+dv In this paper, we establish a collection of new sharp bounds for the DSO index in terms of several fundamental graph parameters and well-known topological indices. In all cases, the proposed bounds rigorously specify the equality conditions, thereby providing a complete characterization of the extremal graphs. These findings deepen the theoretical understanding of the DSO index and provide powerful analytical tools for interdisciplinary applications in mathematical chemistry.