In this paper, we show that fullerene patches with nice boundaries containing between 1 and 5 pentagons fall into several equivalence classes; furthermore, any two fullerene patches in the same class can be transformed into the same minimal configuration using combinatorial alterations.
@article{391,
title = {Fullerene patches II},
journal = {ARS MATHEMATICA CONTEMPORANEA},
volume = {6},
year = {2013},
doi = {10.26493/1855-3974.391.a0d},
language = {EN},
url = {http://dml.mathdoc.fr/item/391}
}
Graver, Jack E.; Graves, Christina; Graves, Stephen J. Fullerene patches II. ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013) . doi : 10.26493/1855-3974.391.a0d. http://gdmltest.u-ga.fr/item/391/