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In this paper we study the resonance graphs of benzenoid systems, tubulenes,and fullerenes. The resonance graph reflects the interactions between the Kekule structures of a molecule. The equivalence of the Zhang-Zhang polynomial(which counts Clar covers) of the molecular graph and the cube polynomial(which counts hypercubes) of its resonance graph is known for all threefamilies of molecular graphs.  Instead of considering only interactions between 6-cycles (Clar covers), wealso consider 10-cycles, which contribute to the resonance energy of a moleculeas well. Therefore, we generalize the concepts of the Zhang-Zhang polynomialand the cube polynomial and prove the equality of these two polynomials.

Equivalence of the Generalized Zhang-Zhang Polynomial and the Generalized Cube Polynomial