The chemist Harold Wiener found [MATHEMATICAL SCRIPT CAPITAL W](G), the sum of distances between all pairs of vertices in a connected graph G, to be useful as a predictor of certain physical and chemical properties. The q-analogue of [MATHEMATICAL SCRIPT CAPITAL W], called the Wiener polynomial [MATHEMATICAL SCRIPT CAPITAL W](G; q), is also useful, but it has few existing useful formulas. We will evaluate [MATHEMATICAL SCRIPT CAPITAL W](G; q) for certain graphs G of chemical interest.
Relation:
International Journal of Quantum Chemistry 99(2), pp.80-91
