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Graphical Enumeration of the Sextet Polynomials. Novel Identities of Resonant Sextet Numbers of Cata-condensed Benzenoid Hydrocarbons
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 …