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.
Journal of Mathematical Chemistry
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Fullerene, toroidal polyhex, Kekulé structure, k-resonance
Shiu, Wai Chee, Peter Che Bor Lam, and Heping Zhang. "k-resonance in toroidal polyhexes." Journal of Mathematical Chemistry 38.4 (2005): 451-466.