Author/Authors :
Milovanović, Igor z Faculty of Electronic Engineering - University of Nis, Nis, Serbia , Milovanović, Emina i Faculty of Electronic Engineering - University of Nis, Nis, Serbia , Matejić, Marjan m Faculty of Electronic Engineering - University of Nis, Nis, Serbia , Ali, Akbar Department of Mathematics - Faculty of Science - University of Ha'il, Ha'il, Saudi Arabia
Abstract :
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.
Keywords :
Zagreb index , inverse degree , bounds , modified first Zagreb index
