Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 8 2 2023 06 01 New bounds on Sombor index 305 311 14356 10.22049/cco.2022.27600.1296 EN Ivan Gutman University of Kragujevac Necla Kircali Gürsoy Ege University Arif Gürsoy Ege University Alper Ülker Cecen University Journal Article 2021 12 30 The Sombor index of the graph $G$ is a degree based topological index, defined as $SO = \sum_{uv \in \mathbf E(G)}\sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of the vertex $u$, and $\mathbf E(G)$ is the edge set of $G$. Bounds on $SO$ are established in terms of graph energy, size of minimum vertex cover, matching number, and induced matching number. https://comb-opt.azaruniv.ac.ir/article_14356_fa49f855b60a5943a348f9fe651d5cfb.pdf