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Fusenes and benzenoids with perfect matchings

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In this paper, a method to constructively enumerate fusenes and benzenoids with perfect matchings is given. It is based on an algorithm for generating all fusenes and benzenoids and introduces new restrictions into the generation process that avoid the generation of structures without perfect matchings.

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Authors and Affiliations

  1. Applied Mathematics and Computer Science, University of Ghent, Krijgslaan 281 S9, B 9000, Ghent, Belgium

    Gunnar Brinkmann

  2. Fakultät für Mathematik, Universität Bielefeld, D 33501, Bielefeld, Germany

    Christian Grothaus

  3. Faculty of Science, University of Kragujevac, P.O. Box 60, 34000, Kragujevac, Serbia & Montenegro

    Ivan Gutman

Authors
  1. Gunnar Brinkmann
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  2. Christian Grothaus
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  3. Ivan Gutman
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Correspondence to Gunnar Brinkmann.

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Brinkmann, G., Grothaus, C. & Gutman, I. Fusenes and benzenoids with perfect matchings. J Math Chem 42, 909–924 (2007). https://doi.org/10.1007/s10910-006-9148-z

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  • DOI: https://doi.org/10.1007/s10910-006-9148-z

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