Abstract
A Kekuléan benzenoid system is one with Kekulé structures. A fixed double (single) bond of a Kekuléan benzenoid systemH is an edge belonging to all (none) of the Kekulé structures ofH. Essentially disconnected systems are Kekuléan pericondensed benzenoid systems with some fixed double or single bonds. In this paper a necessary and sufficient condition for a Kekuléan benzenoid system to be essentially disconnected benzenoid system with fixed double bonds is given and rigorously proved.
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Kerong, L., Cyvin, S.J., Cyvin, B.N. et al. Recognizing essentially disconnected benzenoids with fixed double bonds. Appl. Math. 9, 299–305 (1994). https://doi.org/10.1007/BF02663779
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DOI: https://doi.org/10.1007/BF02663779