SIAM Journal on Discrete Mathematics


SIAM J. Discrete Math., 25(4), 1737–1745. (9 pages)

On the 2-Resonance of Fullerenes

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Article Data

History

Submitted: 25 February 2010
Accepted: 09 September 2011
Published online: 08 December 2011

AMS Subject Headings

05C70, 05C90

Publication Data

ISSN (print): 0895-4801
ISSN (online): 1095-7146
Publisher: Society for Industrial and Applied Mathematics
CODEN: sjdmec
Tomáš Kaiser, Matěj Stehlík, and Riste Škrekovski
https://doi.org/10.1137/10078699X

We show that every pair of hexagons in a fullerene graph satisfying the isolated pentagon rule (IPR) forms a resonant pattern. This solves a problem raised by Ye, Qi, and Zhang [SIAM J. Discrete Math., 23 (2009), pp. 1023–1044].

Copyright © 2011 Society for Industrial and Applied Mathematics
Permalink: https://doi.org/10.1137/10078699X

Cited by

(2021) Nice pairs of disjoint pentagons in fullerene graphs. Journal of Mathematical Chemistry 59:5, 1316-1331. Crossref
(2015) 2-resonant fullerenes. European Journal of Combinatorics 49, 13-24. Crossref