Document Type

Journal Article

Department/Unit

Department of Mathematics

Abstract

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 ≤ tp − 1). A toroidal polyhex G is said to be k-resonant if, for 1≤ ik, 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.

Publication Year

2005

Journal Title

Journal of Mathematical Chemistry

Volume number

38

Issue number

4

Publisher

Springer Verlag

First Page (page number)

451

Last Page (page number)

466

Referreed

1

DOI

10.1007/s10910-004-6897-4

ISSN (print)

15728897

Link to Publisher’s Edition

https://dx.doi.org/10.1007/s10910-004-6897-4

Keywords

Fullerene, toroidal polyhex, Kekulé structure, k-resonance

Included in

Mathematics Commons

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