Algebraic Structure Count of Some Non-benzenoid Conjugated Polymers

Abstract

The algebraic structure count (A) of a class of conjugated polymers is determined, Both explicit combinatorial formulas and recurrence relations for A are obtained. The conjugated polymers considered consist of arbitrary monomer units whose all Kekulé structures are of equal parity, which are joined via four-membered (cyclobutadiene) rings. We find expressions for A both in the general case, when the monomer units are not mutually equal, and for various special choices of the monomers. © 1996 Akadémiai Kiadó,.