Extremal k*-cycle resonant hexagonal chains

Wai Chee Shiu*, Peter Che Bor Lam, Lian-zhu Zhang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

14 Citations (Scopus)
15 Downloads (Pure)


Denote by Bn* the set of all k*-cycle resonant hexagonal chains with n hexagons. For any Bn ∈ B 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 ∈ Bn*, m(Hn) ≤ m(Bn) and i(Hn) ≥ i(Bn), where H n is the helicene chain. Moreover, equalities hold only if B n = Hn.

Original languageEnglish
Pages (from-to)17-28
Number of pages12
JournalJournal of Mathematical Chemistry
Issue number1
Publication statusPublished - Jan 2003

Scopus Subject Areas

  • Chemistry(all)
  • Applied Mathematics

User-Defined Keywords

  • k*-cycle resonant hexagonal chain
  • Helicene chain
  • Hosoya index
  • Merrifield-Simmons index


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