EXTREMAL CHEMICAL TREES WITH RESPECT TO HYPER-ZAGREB INDEX
Ali Ghalavand, Али Реза Ашрафи, Reza Sharafdini, Ottorino Ori · 2019
Suppose G is a molecular graph with edge set E(G). The hyper-Zagreb index of G is defined as HM(G) = Συν∈E(G)[degG(u)+degG(ν)]2, where degG(u) is the degree of a vertex u in G. In this paper, all chemical trees of order n _ 12 with the first twenty smallest hyper-Zagreb index are characterized.