### 抜粋

We present compact, closed-form expressions for Zhang-Zhang (ZZ) polynomials of regular 3- and 4-tier benzenoid strips. It is possible to unify the ZZ polynomials of 11 classes of regular 3- and 4-tier benzenoid strips into a single, universal, three-parameter formula (Equation Presented) where Cl ∈ {2,3,4,5,6}, a_{0} = 1, a_{1} ∈ {0,1,2,3}, and a_{2} ∈ {0,1}. The parameters and partition the a_{1} and a_{2} tiers benzenoid strips into four superfamilies; a_{1} and a_{2} are constant within a given superfamily and enumerates subsequent benzenoid structures. Our finding provides also a compact and universal expression for the number of Kekulé structures for regular 3- and 4-tier benzenoid strips given by (Equation Presented) These expressions are expected to be readily applicable also to wider regular benzenoid strips.

元の言語 | English |
---|---|

ページ（範囲） | 427-442 |

ページ数 | 16 |

ジャーナル | Match |

巻 | 73 |

発行部数 | 2 |

出版物ステータス | Published - 2015 |

外部発表 | Yes |

### フィンガープリント

### ASJC Scopus subject areas

- Chemistry(all)
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics

### これを引用

*Match*,

*73*(2), 427-442.