Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

A complete characterization for k-resonant Klein-bottle polyhexes

Language

English

Abstract

A hexagonal tessellation K(p, q, t) on Klein bottle, a non-orientable surface with cross-cap number 2, is a finite-sized elemental benzenoid which can be produced from a p × q-parallelogram of hexagonal lattice with usual identifications of sides and with torsion t. Unlike torus, Klein bottle polyhex K(p, q, t) is not transitive except for some degenerated cases. We shall show, however, that K(p, q, t) does not depend on t. Accordingly, criteria for K(p, q, t) to be k-resonant for every positive integer k will be given. Moreover, we shall show that K(3, q, t) of 3-resonance are fully-benzenoid. © 2006 Springer Science+Business Media, Inc.

Keywords

Fullerene, K-resonance, Kekulé structure, Klein bottle polyhex, Toroidal polyhex

Publication Date

2008

Source Publication Title

Journal of Mathematical Chemistry

Volume

43

Issue

1

Start Page

45

End Page

59

Publisher

Springer Verlag

DOI

10.1007/s10910-006-9178-6

Link to Publisher's Edition

http://dx.doi.org/10.1007/s10910-006-9178-6

ISSN (print)

02599791

ISSN (electronic)

15728897

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