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Mathematical studies of Kekulé structures

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Abstract

The perfect matching vector and forcing and the Kekulé-vector of cata-benzenoids are defined. Two theorems are given which set the sufficient and necessary conditions for HKZ-vector (Harary et al. J Math Chem 6:295, 1991) and Kekulé-vector in cata-benzenoids. Additional two theorems are obtained which give sharp bounds for the modules of HKZ- and Kekulé vectors.

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Author information

Authors and Affiliations

  1. The Rugjer Bošković Institute, P.O. Box 180, Zagreb, 10002, Croatia

    Nenad Trinajstić

  2. Department of Mathematics, University of Split, Nikole Tesle 12, Split, 21000, Croatia

    Damir Vukičević

Authors
  1. Nenad Trinajstić
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  2. Damir Vukičević
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Corresponding author

Correspondence to Nenad Trinajstić.

Additional information

Dedicated to Professor Tadeusz Marek Krygowski on the happy occasion of his 70th birthday.

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Trinajstić, N., Vukičević, D. Mathematical studies of Kekulé structures. Struct Chem 18, 807–812 (2007). https://doi.org/10.1007/s11224-007-9241-3

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  • DOI: https://doi.org/10.1007/s11224-007-9241-3

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