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Mathematical studies of Kekulé structures |
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| Authors: | Nenad Trinajsti? Damir Vuki?evi? |
| Institution: | (1) The Rugjer Bošković Institute, P.O. Box 180, Zagreb, 10002, Croatia;(2) Department of Mathematics, University of Split, Nikole Tesle 12, Split, 21000, Croatia |
| 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. Dedicated to Professor Tadeusz Marek Krygowski on the happy occasion of his 70th birthday. |
| Keywords: | Cata-benzenoids Geometric and algebraic Kekulé structures Hidden properties Mathematical properties Perfect matching vector Forcing Kekulé-vector |
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