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/