On the second maximum Wiener polarity index of chemical trees of a fixed order
Akbar Ali, Zhibin Du, Syeda Sifwa Zaineb, Tariq Alraqad · International Journal of Quantum Chemistry · 2021
Abstract The Wiener polarity indexWpof a graph is defined as the number of unordered pairs of its vertices at distance 3. The problem of finding trees attaining the maximumWpvalue, among all chemical trees of a fixed ordern, was solved in the paper (Mol.Inf.2019,38, 1800076) forn ≥ 8. Motivated by the usage ofWpin a recent publication (J.Chem.Inf.Model.2020,60, 1224–1234), in this article we extend the work done in the aforementioned paper by giving a further ordering of chemical trees with respect to the maximum value ofWp. More precisely, we characterize the trees having the second maximumWpvalue (which is3n − 16) from the class of all chemical trees of a fixed ordern, forn ≥ 9.