On the anti-Kekulé number and anti-forcing number of cata-condensed benzenoids |
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Authors: | Damir Vukičević Nenad Trinajstić |
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Institution: | (1) Department of Mathematics, Faculty of Science, The University of Split, Nikole Tesle 12, HR-21000 Split, Croatia;(2) The Rugjer Bošković Institute, P.O. Box. 180, HR-10002 Zagreb, Croatia |
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Abstract: | Previously introduced concepts the anti-Kekulé number and anti-forcing number (Vukicevic et al., J. Math. chem., in press)
are applied to cata-condensed benzenoids. It is shown that all cata-benzenoids have anti-Kekulé number either 2 or 3 and both
classes are characterized. The explicit formula for anti-forcing number of chain (unbranched) cata-benzenoids is given. It
is also shown that anti-forcing number of any cata-benzenoid goes up to h/2 where h is the number of hexagons in a cata-benzenoid.
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Keywords: | anti-forcing number anti-Kekulé number cata-condensed benzenoids chain cata-benzenoids |
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