K-resonance in toroidal polyhexes

Wai Chee Shiu*, Peter Che Bor Lam, Heping Zhang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

27 Citations (Scopus)
6 Downloads (Pure)


This paper considers the k -resonance of a toroidal polyhex (or toroidal graphitoid) with a string (p,q,t) of three integers (p ≥ 2, q ≥ 2, 0 ≤ t ≤ p - 1). A toroidal polyhex G is said to be k-resonant if, for 1 ≤ i ≤ k, any i disjoint hexagons are mutually resonant, that is, G has a Kekulé structure (perfect matching) M such that these hexagons are M-alternating (in and off M). Characterizations for 1, 2 and 3-resonant toroidal polyhexes are given respectively in this paper.

Original languageEnglish
Pages (from-to)451-466
Number of pages16
JournalJournal of Mathematical Chemistry
Issue number4
Publication statusPublished - Nov 2005

Scopus Subject Areas

  • Chemistry(all)
  • Applied Mathematics

User-Defined Keywords

  • Fullerene
  • toroidal polyhex
  • Kekulé structure
  • k-resonance


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