@article{10.5614/ejgta.2018.6.1.12,
author = {Suresh Elumalai and Toufik Mansour and Mohammad Ali Rostami},
title = {New Bounds on the Hyper-Zagreb Index for the Simple Connected Graphs},
number = {1},
volume = {6},
journal = {Electronic Journal of Graph Theory and Applications},
year = {2018},
abstract = {The hyper-Zagreb index of a simple connected graph G is defined by ${\chi ^2}(G) = \sum_{uv \in E(G)} {{{\left( {d(u) + d(v)} \right)}^2}}$. In this paper, we establish, analyze and compare some new upper bounds on the Hyper-Zagreb index in terms of the number of vertices n, number of edges m, maximum vertex degree $\Delta$, and minimum vertex degree $\delta$, first Zagreb index M_1(G), second Zagreb index M_2(G), harmonic index H(G), and inverse edge degree IED(G). In addition, we give the identities on Hyper-Zagreb index and its coindex for the simple connected graphs.},
doi = {10.5614/ejgta.2018.6.1.12},
}