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Resonance structure counts in parallelogram-like benzenoids with holes

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Abstract

If a hexacyclic graph G represents a benzenoid, a perfect matching corresponds to a configuration of π-bonds. We present an algorithm for counting the number of configurations of π-bonds for parallelogram-like benzenoids with parallelogram-like holes by counting descending paths in a corresponding rectangular mesh with rectangular holes.

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Authors and Affiliations

  1. Chemistry Department, Queensborough Community College, Bayside, NY, 11364, USA

    Sasan Karimi

  2. Purchase College, Purchase, NY, 10577, USA

    Anthony Delgado

  3. Math Department, Purchase College, Purchase, NY, 10577, USA

    Marty Lewinter

Authors
  1. Sasan Karimi
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  2. Anthony Delgado
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  3. Marty Lewinter
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Correspondence to Sasan Karimi.

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Karimi, S., Delgado, A. & Lewinter, M. Resonance structure counts in parallelogram-like benzenoids with holes. J Math Chem 44, 913–916 (2008). https://doi.org/10.1007/s10910-008-9437-9

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  • DOI: https://doi.org/10.1007/s10910-008-9437-9

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