Extremal k *-Cycle Resonant Hexagonal Chains |
| |
| Authors: | Wai Chee Shiu Peter Che Bor Lam Lian-zhu Zhang |
| |
| Affiliation: | (1) Department of Mathematics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon Tong, Hong Kong;(2) Department of Mathematics, Zhangzhou Teachers College, Zhangzhou, Fujian, 363000, China |
| |
| Abstract: | Denote by  *n the set of all k*-cycle resonant hexagonal chains with n hexagons. For any Bn *n, let m(Bn) and i(Bn) be the numbers of matchings (= the Hosoya index) and the number of independent sets (=the Merrifield–Simmons index) of Bn, respectively. In this paper, we give a characterization of the k*-cycle resonant hexagonal chains, and show that for any Bn*n, m(Hn) m(Bn) and i(Hn) i(Bn), where Hn is the helicene chain. Moreover, equalities hold only if Bn=Hn. |
| |
| Keywords: | k*-cycle resonant hexagonal chain helicene chain Hosoya index Merrifield– Simmons index |
| 本文献已被 SpringerLink 等数据库收录！ |
|
