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Enumeration of Kekulé structures in benzenoid hydrocarbons: “flounders”

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Abstract

Combinatorial formulas for Kekulé structure counts (K) of a class of benzenoids referred to as “flounders” are derived. They represent a generalization of the previously studied “pentagon-shaped” benzenoids. A special case of theK formula reproduces the well-known Catalan numbers.

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Authors and Affiliations

  1. Institute ofMathematics, Faculty of Science, University of Novi Sad, YU-21000, Novi Sad, Yugoslavia

    R. Tošić

  2. Division of Physical Chemistry, The University of Trondheim, N-7034, Trondheim NTH, Norway

    S. J. Cyvin

Authors
  1. R. Tošić
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  2. S. J. Cyvin
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Additional information

received by the Publisher 20 September 1989

Part VI in the series Pentagon-Shaped Benzenoids. For parts I–V, see refs. [12–161].

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Tošić, R., Cyvin, S.J. Enumeration of Kekulé structures in benzenoid hydrocarbons: “flounders”. J Math Chem 3, 393–401 (1989). https://doi.org/10.1007/BF01169020

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  • DOI: https://doi.org/10.1007/BF01169020

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