The Zhang-Zhang polynomial of hexagonal systems is introduced by H. Zhang and F. Zhang, which can be used to calculate many important invariants such as the Clar number, the number of Kekulé structures and the first Herndon number, etc. In this paper, we give out an explicit expression for the Zhang-Zhang polynomials of a class of pericondensed benzenoid graphs, and determine their numbers of Kekulé structures and Clar formulas, their Clar numbers and their first Herndon numbers.
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