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On the Anti-forcing Number of Benzenoids

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Abstract

The anti-forcing number is introduced as the smallest number of edges that have to be removed that any benzenoid remains with a single Kekulé structure. Similarly, the anti- Kekulé number is discussed as the smallest number of edges that have to be removed that any benzenoid remains connected but without any Kekulé structure. These concepts have been exemplified on damaged benzenoid parallelograms.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, The University of Split, Nikole Tesle 12, HR-21000, Split, Croatia

    Damir Vukiěević

  2. The Rugjer Bošković Institute, P.O.B. 180, HR-10002, Zagreb, Croatia

    Nenad Trinajstić

Authors
  1. Damir Vukiěević
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  2. Nenad Trinajstić
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Correspondence to Damir Vukiěević.

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Vukiěević, D., Trinajstić, N. On the Anti-forcing Number of Benzenoids. J Math Chem 42, 575–583 (2007). https://doi.org/10.1007/s10910-006-9133-6

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  • DOI: https://doi.org/10.1007/s10910-006-9133-6

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