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Computing Sanskruti index of certain nanostructures

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Abstract

Inspired by recent work of augmented Zagreb index (AZI) we propose here a new topological index, Sanskruti index \(\mathcal {S}(G)\) of a molecular graph G. In QSAR/QSPR study, topological indices are utilized to guess the bioactivity of chemical compounds. The Sanskruti index \(\mathcal {S}(G)\) shows good correlation with entropy of an octane isomers. In this paper we compute the Sanskruti index \(\mathcal {S}(G)\) of line graphs of subdivison graphs of 2D-lattice, nanotube and nanotorus of \(\textit{TUC}_{4}C_{8}[p,q]\).

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Acknowledgments

This work is supported by the Science and Engineering Research Board, New Delhi India under the Major Research Project No. SERB/F/4168/2012-13 Dated 03.10.2013.

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Authors and Affiliations

  1. Department of Mathematics, Rani Channamma University, Belagavi, India

    Sunilkumar M. Hosamani

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  1. Sunilkumar M. Hosamani
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Correspondence to Sunilkumar M. Hosamani.

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Dedicated to my daughter Sanskruti on the occasion of her first year birthday.

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Hosamani, S.M. Computing Sanskruti index of certain nanostructures. J. Appl. Math. Comput. 54, 425–433 (2017). https://doi.org/10.1007/s12190-016-1016-9

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