Department of Mathematics
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.
Fullerene, toroidal polyhex, Kekulé structure, k-resonance
Source Publication Title
Journal of Mathematical Chemistry
Link to Publisher's Edition
Shiu, W., Lam, P., & Zhang, H. (2005). k-resonance in toroidal polyhexes. Journal of Mathematical Chemistry, 38 (4). https://doi.org/10.1007/s10910-004-6897-4