Symmetry Group of (3,6)-Fullerenes

A (3,6)-fullerene is a 3-connected cubic planar graph whose faces are triangles and hexagons. In this paper, it is proved that for a (3,6)-fullerene graph F, |Aut(F)| divides 24. An open question is also presented.

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Bibliographic Details
Published in:Fullerenes, nanotubes, and carbon nanostructures nanotubes, and carbon nanostructures, 2015-09, Vol.23 (9), p.788-791
Main Authors: Ghorbani, Modjtaba, Songhori, Mahin, Ashrafi, Ali Reza, Graovac, Ante
Format: Article
Language:English
Subjects:
automorphism group
fullerenes
group action
stabilizer
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Summary:A (3,6)-fullerene is a 3-connected cubic planar graph whose faces are triangles and hexagons. In this paper, it is proved that for a (3,6)-fullerene graph F, |Aut(F)| divides 24. An open question is also presented.
ISSN:1536-383X
1536-4046
DOI:10.1080/1536383X.2014.993064