The Sum-Connectivity Index - An Additive Variant of the Randic Connectivity Index§

Title:The Sum-Connectivity Index - An Additive Variant of the Randic Connectivity Index§

Volume: 9 Issue: 2

Author(s): Bono Lucic, Ivan Sovic, Jadranko Batista, Karolj Skala, Dejan Plavsic, Drazen Vikic-Topic, Drago Beslo, Sonja Nikolic and Nenad Trinajstic

Affiliation:

Keywords: Product-connectivity index, sum-connectivity index, molecular graph, topological index, quantitative structureproperty relationship, QSPR.

Abstract: This review discusses structure-property modeling applications of a novel variant of the Randic connectivity index that is called the sum-connectivity index. We compare published one-descriptor quantitative structure-property relationship (QSPR) models obtained with the new sum-connectivity index and with the Randic connectivity index, called here the product-connectivity index. Additionally, the efficiency of both variants of connectivity indices in QSPR modeling is tested on five datasets of alkanes and two datasets of polycyclic hydrocarbons. Several physicochemical properties of alkanes (i.e. boiling and melting points, retention index, molar volume, molar refraction, heat of vaporization, standard Gibbs energy of formation, critical temperature, critical pressure, surface tension, density) and π- electronic energies of two sets of polycyclic hydrocarbons were correlated with the product- and sum-connectivity indices. A comparison of these QSPR models shows that both variants of connectivity indices are equivalent, and only slightly (but not significantly) better results are obtained with the sum-connectivity index. Inter-correlations between the product- and sum-connectivity indices are mostly linear with a slope very close to 1.0 for alkanes, and with a slope more different from 1.0 (0.88) for polycyclic compounds. The comparative analysis presented here supports the use of the sumconnectivity index in QSPR/QSAR studies together with the product-connectivity index. Further studies on larger and more heterogeneous datasets should test the sum-connectivity index in QSPR/QSAR models.

Cite this article as:

Lucic Bono, Sovic Ivan, Batista Jadranko, Skala Karolj, Plavsic Dejan, Vikic-Topic Drazen, Beslo Drago, Nikolic Sonja and Trinajstic Nenad, The Sum-Connectivity Index - An Additive Variant of the Randic Connectivity Index§, Current Computer-Aided Drug Design 2013; 9 (2) . https://dx.doi.org/10.2174/1573409911309020004