Abstract

Inspired by the recent work of the Gourava and hyper-Gourava indices, we propose a new topological indices, the Basava and hyper-Basava indices of a molecular graph. Further, we compute the Basava and hyper-Basava indices of some standard class of graphs. The Basava and hyper-Basava indices are tested with physico-chemical properties of octane isomers such as entropy, acentric factor and DHVAP using linear regression models. The first Basava index highly correlates with acentric factor (coefficient of correlation \textbf{0.9590748}) and the second Basava index highly correlates with entropy (coefficient of correlation \textbf{0.9491009}). Finally, we compute the Basava and hyper-Basava indices of certain families of nanostar dendrimers. The obtained results can be used in data mining, particularly in researching the uniqueness of hyper-branched molecular graphs

Keywords and Phrases

Basava indices, hyper-Basava indices, octane isomers, dendrimers.

A.M.S. subject classification

05C09, 05C92.

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