The Zagreb indices have been introduced more than forty years ago by I. Gutman and N. Trinajstić. The first and second Zagreb indices are equal to and respectively. The Hyper-Zagreb index of a graph G, were introduced recently as , where d is the degree of a vertex v ∈ V(G) (the number of vertices of G adjacent to v). Recently, in this paper we introduce result of this new version of Zagreb indices for an infinite family of Nanostar Dendrimer.
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Gao et al. (2017) studied this question.
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