The linear independence of the edge-connectivity index to other first-, second-, and third-generation topological indices is demonstrated by using principal component analysis for octane isomers. Most of the topological indices are loaded in one factor, while the edge connectivity is loaded in another independent factor. The edge-connectivity index does not produce linear correlations ( R ≤ 0.7) with any of the almost 40 topological indices studied. This index produced the best single-variable quantitative structure−property relationship (QSPR) models for five of the seven physicochemical properties of octanes studied. It is concluded that the edge connectivity is an independent index containing important structural information to be used in QSPR/QSAR (QSAR = quantitative structure−activity relationship) studies.
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Estrada et al. (1999) studied this question.
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