## 抄録

An automatic computer code is developed to calculate the Zhang-Zhang (ZZ) polynomial (aka Clar covering polynomial) for benzenoid systems. The code can be routinely applied to dense pericondensed benzenoids containing up to 500 carbon atoms. For catacondensed and quasi-linear pericondensed benzenoid systems, the limiting number of atoms is much larger and may exceed 10000. A parallel implementation of the code is also presented, which allows one to surpass these limits with a large number of CPUs. The developed program is applied for finding the ZZ polynomials of various classes of benzenoid systems; general techniques and algorithms applicable in this context are reviewed and discussed. A survey of new results obtained in that way is presented in a sequel to this paper [C.-P. Chou, Y. Li, and H.A. Witek, MATCH Commun. Math. Comput. Chem., submitted].

本文言語 | English |
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ページ（範囲） | 3-30 |

ページ数 | 28 |

ジャーナル | Match |

巻 | 68 |

号 | 1 |

出版ステータス | Published - 2012 |

外部発表 | はい |

## ASJC Scopus subject areas

- 化学 (全般)
- コンピュータ サイエンスの応用
- 計算理論と計算数学
- 応用数学