Let G = (V, E) be a graph with n vertices and m edges. The hyper Zagreb index of G, denoted by HM (G), is defined aswhere d G (v) denotes the degree of a vertex v in G. In this paper we compute the hyper Zagreb index of certain generalized graph structures such as generalized thorn graphs and generalized theta graphs. Also,for the first time, we determine exact values for hyper Zagreb index of some cycle related graphs, namely cycle with parallel P k chords, cycle with parallel C k chords and shell type graphs.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.