The Clar covering polynomial of hexagonal systems .1. | |
Zhang, HP ; Zhang HP(张红平) ; Zhang, FJ | |
1996 | |
英文摘要 | In this paper the Clar covering polynomial of a hexagonal system is introduced. In fact it is a kind of F polynomial [4] of a graph, and can be calculated by recurrence relations. We show that the number of aromatic sextets (in a Clar formula), the number of Clar formulas, the number of Kekule structures and the first Herndon number for any Kekulean hexagonal system can be easily obtained by its Clar covering polynomial. In addition, we give some theorems to calculate the Clar covering polynomial of a hexagonal system. As examples we finally derive the explicit expressions of the Clar covering polynomials for some small hexagonal systems and several types of catacondensed hexagonal systems. A relation between the resonance energy and the Clar covering polynomial of a hexagonal system is considered in the next paper. |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
内容类型 | 期刊论文 |
源URL | [http://dx.doi.org/10.1016/0166-218X(95)00081-2] ![]() |
专题 | 化学化工-已发表论文 |
推荐引用方式 GB/T 7714 | Zhang, HP,Zhang HP,Zhang, FJ. The Clar covering polynomial of hexagonal systems .1.[J],1996. |
APA | Zhang, HP,张红平,&Zhang, FJ.(1996).The Clar covering polynomial of hexagonal systems .1... |
MLA | Zhang, HP,et al."The Clar covering polynomial of hexagonal systems .1.".(1996). |
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