Far Eastern Mathematical Journal

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Construction of fullerenes with the number of hexagons no more than 7


Prudnikova N.V.

2015, issue 2, . 247-263


Abstract
This paper 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.

Keywords:
fullerenes, (s, k)-truncation, Endo - Kroto operation

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References

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[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.
[4] M. Endo, H.W. Kroto, "Formation of Carbon Nanofibers", Journal of Physical Chemistry, 96:17 (1992), 6941-6944.

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