TY - JOUR ID - 14281 TI - Some new bounds on the modified first Zagreb index JO - Communications in Combinatorics and Optimization JA - CCO LA - en SN - 2538-2128 AU - Milovanović, Igor AU - Milovanović, Emina AU - Matejić, Marjan AU - Ali, Akbar AD - Faculty of Electronic Engineering, University of Nis, Nis, Serbia AD - Faculty of Electronic Engineering AD - University of Hail, Saudi Arabia Y1 - 2023 PY - 2023 VL - 8 IS - 1 SP - 13 EP - 21 KW - degree-based topological index KW - modified first Zagreb index KW - inverse degree DO - 10.22049/cco.2021.27159.1205 N2 - Let $G$ be a graph containing no isolated vertices. For the graph $G$, its modified first Zagreb index is defined as the sum of reciprocals of squares of vertex degrees of $G$. This article provides some new bounds on the modified first Zagreb index of $G$ in terms of some other well-known graph invariants of $G$. From the obtained bounds, several known results follow directly. UR - http://comb-opt.azaruniv.ac.ir/article_14281.html L1 - http://comb-opt.azaruniv.ac.ir/article_14281_b184e449936b5b45754b4dff89027329.pdf ER -