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Generalization of Cyvin's formula

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Abstract

A formula, recently discovered by Cyvin, relates the numbers of Kekulé structures of unbranched catacondensed benzenoid molecules. It is shown that Cyvin's formula is a special case of a much more general result. The determinants occurring in Cyvin's formula as well as in our generalized version thereof can be interpreted in terms of correlation functions for die choices of pairs of double or pairs of single bonds in the Kekulé structures of the respective conjugated system.

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Author notes

  1. I. Gutman

    Present address: Faculty of Science, University of Kragujevac, P.O. Box 60, YU-34000, Kragujevac, Yugoslavia

Authors and Affiliations

  1. Department of Chemistry, Vanderbilt University, 37325, Nashville, TN, USA

    I. Gutman

  2. Department of Marine Sciences, Texas A&M University at Galveston, 77553-1675, Galveston, TX, USA

    D. J. Klein

Authors
  1. I. Gutman
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  2. D. J. Klein
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Gutman, I., Klein, D.J. Generalization of Cyvin's formula. J Math Chem 6, 41–50 (1991). https://doi.org/10.1007/BF01192572

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  • DOI: https://doi.org/10.1007/BF01192572

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