Construction of fullerenes with the number of hexagons no more than 7
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 247-263.

Voir la notice de l'article provenant de la source Math-Net.Ru

This papper devoted to the constructions of fullerenes that have at most 7 hexagons. We consider the sequences of operations, which give an opportunity to obtain the fullerenes from cube and dodecahedron.
@article{DVMG_2015_15_2_a8,
     author = {N. V. Prudnikova},
     title = {Construction of fullerenes with the number of hexagons no more than 7},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {247--263},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a8/}
}
TY  - JOUR
AU  - N. V. Prudnikova
TI  - Construction of fullerenes with the number of hexagons no more than 7
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2015
SP  - 247
EP  - 263
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a8/
LA  - ru
ID  - DVMG_2015_15_2_a8
ER  - 
%0 Journal Article
%A N. V. Prudnikova
%T Construction of fullerenes with the number of hexagons no more than 7
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2015
%P 247-263
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a8/
%G ru
%F DVMG_2015_15_2_a8
N. V. Prudnikova. Construction of fullerenes with the number of hexagons no more than 7. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 247-263. http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a8/

[1] V.M. Bukhshtaber, N. Yu. Erokhovets, “Usecheniya prostykh mnogogrannikov i prilozheniya”, Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 150-letiyu so dnya rozhdeniya akademika Vladimira Andreevicha Steklova, Tr. MIAN, 289, MAIK, 2015, 115–144

[2] V.M.Buchstaber, N.Yu.Erokhovets, Construction of fullerenes, 2015, arXiv: submit/1374260 [math.CO]

[3] M. Deza, M. Dutour Sikiric, M. I. Shtogrin, “Fullerenes and disk-fullerenes”, Russian Math. Surveys, 68:4 (2013), 665–720 | DOI | MR | Zbl

[4] M. Endo, H.W. Kroto, “Formation of Carbon Nanofibers”, Journal of Physical Chemistry, 96:17 (1992), 6941–6944 | DOI

[5] V. Eberhard, Zur Morphologie der Polyheder, Leipzig, 1891

[6] M. Hasheminezhad, H. Fleischner, and B.D. McKay, “A universal set of growth operations for fullerenes”, Chemical Physics Letters, 464 (2008), 118–121 | DOI

[7] Brinkmann, Franceus, Fowler, Graver, “Growing fullerenes from seed: Growth transformations of fullerene polyhedra”, Chemical Physics Letters, 428:4–6 (2006), 386–393 | DOI

[8] The House of Graphs hog.grinvin.org/Fullerenes