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A combinatorial/geometric analysis of parallelogram-like benzenoids

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Abstract

We recently reported an algorithm to count Kekulé (resonance) structures for convex cyclofusenes using a combinatorial/geometric approach. Previously, we presented an algorithm for counting resonance structures for parallelogram-like benzenoids with holes by counting descending paths using rectangular meshes with holes. In this article, we employ a similar combinatorial/geometric approach to determine algorithms that will facilitate counting of the resonance structures in parallelogram-like benzenoids with no holes.

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Authors and Affiliations

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

    Sasan Karimi

  2. New York University, New York, NY, 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. A combinatorial/geometric analysis of parallelogram-like benzenoids. J Math Chem 50, 904–913 (2012). https://doi.org/10.1007/s10910-011-9933-1

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  • DOI: https://doi.org/10.1007/s10910-011-9933-1

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