Each phenylene molecule (containing n six-membered and n–1 four-membered rings) is in a unique manner associated to a catacondensed benzenoid system (containing n six-membered rings). The algebraic structure count of the phenylene is equal to the number of Kekulé structures of the corresponding benzenoid system. This latter quantity is easily computed.
I. Gutman, J. Chem. Soc., Faraday Trans., 1993, 89, 2413 DOI: 10.1039/FT9938902413
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