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Flag graphs and their applications in mathematical chemistry for benzenoids

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Abstract

Flag graphs have been used in the past for describing maps on closed surfaces. In this paper we use them for the first time in mathematical chemistry for describing benzenoids and some other similar structures. Examples include catacondensed and pericondensed benzenoids. Several theorems are included. Symmetries of benzenoid systems, flag graphs, and symmetry type graphs are briefly discussed.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

    Tomaž Pisanski

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

    Alexandru T. Balaban

Authors
  1. Tomaž Pisanski
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  2. Alexandru T. Balaban
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Correspondence to Alexandru T. Balaban.

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Pisanski, T., Balaban, A.T. Flag graphs and their applications in mathematical chemistry for benzenoids. J Math Chem 50, 893–903 (2012). https://doi.org/10.1007/s10910-011-9932-2

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  • DOI: https://doi.org/10.1007/s10910-011-9932-2

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