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Fusene chains revisited: how kinky they are and why it matters

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Abstract

We refine the enumeration of fusene chains of a given length with respect to the number of turns by constructing bijections between such chains and ternary words. Explicit formulas thus obtained are then used to compute the expected values for the whole class of bond-additive degree-based topological indices over all such chains of a given length. The results are also applicable to several other classes of chemically interesting polycyclic chains, such as, e.g., phenylene and spiro chains.

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Acknowledgements

T. Došlić gratefully acknowledges partial support by Slovenian ARIS via program P1-0383, Grant No. J1–3002. This article is based upon work from COST Action CA21126 - Carbon molecular nanostructures in space (NanoSpace), supported by COST (European Cooperation in Science and Technology).

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  1. University of Zagreb Faculty of Civil Engineering, Zagreb, Croatia

    Tomislav Došlić

  2. Faculty of Information Studies, Novo Mesto, Slovenia

    Tomislav Došlić

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  1. Tomislav Došlić
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Correspondence to Tomislav Došlić.

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Došlić, T. Fusene chains revisited: how kinky they are and why it matters. J Math Chem (2024). https://doi.org/10.1007/s10910-024-01620-w

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  • DOI: https://doi.org/10.1007/s10910-024-01620-w

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