Novel Topological Index F Based on Incidence Matrix

Abstract

Based on incidence matrix W, the novel topological index F is defined by the matrices L, W, X as F = LWX. The properties, the chemical environments, and the interaction of the vertexes in a molecule are taken into account in this definition. Several good QSPR models in the hetero-atom-containing organic compounds and inorganic compounds are obtained. Moreover, based on the definition of F and the values Ci, of the vertexes or the values mFij of the chemical bonds, we have obtained serial indices, mFv, mFb, and F w. They are successfully applied to QSPR models and good correlation results have been obtained as well. © 2003 Wiley Periodicals, Inc.