Abstract
Abstract Novel graph-theoretical identities of resonant sextet numbers of certain nonbranched and branched cata-condensed benzenoid hydrocarbons are given, which are based on transforming Kekulé valence-bond structures into the subspace of their double bonds. Analytic expressions are given which allow construction of sextet polynomials of certain types of benzenoid hydrocarbons of very large sizes in a few seconds without drawing any graphs.
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