Hyper-Wiener and Wiener polarity indices of silicate and oxide frameworks.

Molecular descriptors are graph invariants representing the chemical structure in graph-theoretical terms. There is a wide range of such descriptors and the computation of these invariants for the various chemical frameworks is a current area of research. Among these the Wiener types of indices have passed through critical tests and emerged as a useful topological index in QSAR, predictive toxicology and computer-assisted drug discovery as a starting point to reduce a large data set of chemicals. However mathematical techniques to compute hyper-Wiener index continues to pose considerable challenges, as they involve long and complex manipulations. In the present study, we develop a new technique based on vertex cut methods to compute the hyper-Wiener indices of complex silicate and oxide frameworks of current interest for the first time and obtain the analytical expressions of Wiener polarity indices for these chemical frameworks based on vertex neighborhood. [ABSTRACT FROM AUTHOR]