A relation between clar covering polynomial and cube polynomial
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Bibliographic record
Abstract
The Clar covering polynomial (Zhang-Zhang polynomial) of a hexagonal system is a counting polynomial of resonant structures called Clar covers, which can be used to determine the Kekule count, the first Herndon number and Clar number. In this paper we prove that the Clar covering polynomial of a hexagonal system H coincides with the cube polynomial of its resonance graph R(H) by establishing a bijection between the Clar covers of H and the hypercubes in R(H). Moreover, some important applications of this relation are presented.
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|---|---|---|
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