Abstract
Four pendenticity based topological descriptors termed as superaugmented pendentic indices have been conceptualized in the present study. An in-house computer program was utilized to compute index values of all the possible structures (with at least one pendent vertex) containing four, five and six vertices. The sensitivity towards branching, discriminating power, degeneracy and mathematical properties of the proposed superaugmented pendentic indices were investigated. All the four proposed indices exhibited exceptionally high sensitivity towards branching, high discriminating power and extremely low degeneracy. Superaugmented pendentic index-4 (SA∫P-4) exhibited exceptionally high discriminating power of 114 in structures containing only six vertices. Statistical significance of the proposed indices was investigated using intercorrelation analysis with Wiener’s index, Balaban’s mean square distance index, molecular connectivity index, Zagreb indices (M1 and M2), superpendentic index and eccentric connectivity index. The exceptionally high sensitivity towards branching, high discriminating power amalgamated with extremely low degeneracy offer proposed indices a vast potential for isomer discrimination, similarity/dissimilarity, drug design, quantitative structureactivity/ structure-property relationships, lead optimization and combinatorial library design.
Highlights
The sensitivity towards branching, discriminating power, degeneracy and intercorrelation of the proposed indices with regard to all the possible structures containing four, five and six vertices (with at least one pendent vertex) have been investigated
Wiener’s index Balaban’s mean square distance index Molecular connectivity index Zagreb indices (M1 and M2) Eccentric connectivity index Superpendentic index
Molecular structures are represented by hydrogen suppressed graphs in which vertices represent the atoms and bonds are represented by edges
Summary
The sensitivity towards branching, discriminating power, degeneracy and intercorrelation of the proposed indices with regard to all the possible structures containing four, five and six vertices (with at least one pendent vertex) have been investigated. Index values of superaugmented pendentic indices for all possible structures of four, five and six vertices containing at least one pendent vertex.
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