The ability to derive colored representations of widely employed distance-based topological indices from chemical reactivity
electronegativity and chemical hardness has been developed in the novel theoretical tool presented in this work to provide novel, meaningful
topo-reactive or structure-reactivity indices with application to polycyclic aromatic hydrocarbons (PAHs). The model, which combines
topological and ab initio molecular structural information, relies on the so-called Timisoara-Parma rule for assigning the axial distribution
of electronegativity and chemical hardness to a given molecular structure based on a compact finite-difference (CFD) hierarchy,
which involves ordering nine forms of electronegativity and chemical hardness derivative-based definitions within conceptual density
functional theory (DFT). The results are in good agreement with theoretical and experimental properties improving the predictive power
of standard topological indices. The proposed method is suitable for molecular structures with delocalized electrons.
Keywords: Chemical hardness, Compact finite differences, Eccentric connectivity index, Electronegativity, PAHs, Parabolic reactivity,
Molecular graphs, Timisoara-Parma topo-reactivity method, Wiener index.
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