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Fullerenes via their automorphism groups

Journal article published in 2010 by Klavdija Kutnar, Dragan Marušič, Dušanka Janežič
This paper was not found in any repository; the policy of its publisher is unknown or unclear.
This paper was not found in any repository; the policy of its publisher is unknown or unclear.

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Abstract

A semiregular element of a permutation group is a non-identity element having all cycles of equal length in its cycle decomposition. The existence of semiregular automorphisms in fullerenes is discussed. In particular, the family of fullerene graphs is described via the existence of semiregular automorphisms in their automorphism groups.