Master Connectivity Index and Master Connectivity Polynomial

Damir      Vukicevic; Nenad      Trinajstic; Sonja      Nikolic; Bono      Lucic; Bo      Zhou

Abstract

We give the standard expressions of the Zagreb indices, Randic indices and their variants. Then we present the master connectivity index and show how this index can generate all connectivity indices of both varieties. We also present the master connectivity polynomial and show the relationship between this polynomial and the master connectivity index. Because of this relationship, the master connectivity poynomial can also be used to generate connectivity indices.

Keywords: Connectivity indices, molecular descriptors, Randic indices, Zagreb indices, master connectivity index, master connectivity polynomial, Gutman, Trinajstic, topological basis, π-electron energy, alternant hydrocarbons, QSPR, QSAR, computational properties, heptane isomers, branching index, semiempirical formulation, edge-connectivity index, vertex-connectivity, physicochemical interpretation, vertexdegrees, Estrada, long-range connectivity, master vertex-connectivity index, Bollobás, V-vertex trees, chemical trees, k-th-order connectivity, end-vertex