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Computing Sanskruti index of certain nanostructures

Journal of Applied Mathematics and Computing volume 54, pages 425–433 (2017)Cite this article

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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  • DOI: https://doi.org/10.1007/s12190-016-1016-9

Keywords

  • Molecular descriptor
  • Augmented Zagreb index
  • Sanskruti index

Mathematics Subject Classification

  • 05C90
  • 05C35
  • 05C12