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Vertex cut method for degree and distance-based topological indices and its applications to silicate networks

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Abstract

We have developed rigorous mathematical and computational techniques to obtain exact analytic expressions for a number of degree and distance-based topological indices of inorganic chemical networks and nanomaterials which are newly emerging areas of reticular chemistry. Derivations of these degree and distance-based topological indices of such chemical structures fall under a larger family of partial cubes for which only limited information is currently available. In the present study this gap is filled by developing a new method based on vertex decomposition and computing the degree and distance-based topological indices for polymeric chains, cyclic and double chain silicates, silicate and oxide networks as a function of n, the order of circumscribing.

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Acknowledgments

M. Arockiaraj is supported by Project Number SB/FTP/MS-004/2014, Science and Engineering Research Board, New Delhi, India. K. Balasubramanian would like to thank the US Department of Energy, Office of Basic Energy Sciences, Chemical, Bio and Geosciences Davison.

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Authors and Affiliations

  1. Department of Mathematics, Loyola College, Chennai, 600034, India

    Micheal Arockiaraj & S. Ruth Julie Kavitha

  2. School of Molecular Sciences, Arizona State University, Tempe, AZ, 85287-1604, USA

    Krishnan Balasubramanian

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  1. Micheal Arockiaraj
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  2. S. Ruth Julie Kavitha
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  3. Krishnan Balasubramanian
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Correspondence to S. Ruth Julie Kavitha.

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Arockiaraj, M., Kavitha, S.R.J. & Balasubramanian, K. Vertex cut method for degree and distance-based topological indices and its applications to silicate networks. J Math Chem 54, 1728–1747 (2016). https://doi.org/10.1007/s10910-016-0646-3

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  • DOI: https://doi.org/10.1007/s10910-016-0646-3

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