The Alkanes with Maximum Wiener Polarity Index.

The Wiener polarity index (usually denoted by Wp ) of an alkane is the number of unordered pairs of carbon atoms which are separated by three carbon-carbon bonds. This topological index Wp is useful for predicting the boiling points of alkanes. Deng [MATCH Commun. Math. Comput. Chem. 66 (2011) 305] proved that the maximum Wp value among all alkanes, with n carbon atoms, is 3n-15 . The main purpose of present paper is to find all those alkanes with n carbon atoms, which attain the maximum value of Wp .