| Abstract
| - The hyper-Wiener index WW of a graph G is defined as WW(G) = (∑d (u, v)2 + ∑d (u, v))/2, whered (u, v) denotes the distance between the vertices u and v in the graph G and the summations run over all(unordered) pairs of vertices of G. We consider three different methods for calculating the hyper-Wienerindex of molecular graphs: the cut method, the method of Hosoya polynomials, and the interpolation method.Along the way we obtain new closed-form expressions for the WW of linear phenylenes, cyclic phenylenes,poly(azulenes), and several families of periodic hexagonal chains. We also verify some previously known(but not mathematically proved) formulas.
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