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On decompositions of leapfrog fullerenes

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Abstract

It is shown that given a fullerene F with the number of vertices n divisible by 4, and such that no two pentagons in F share an edge, the corresponding leapfrog fullerene Le(F) contains a long cycle of length 3n − 6 missing out only one hexagon.

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Authors and Affiliations

  1. University of Primorska, Titov trg 4, 6000, Koper, Slovenia

    Klavdija Kutnar & Dragan Marušič

  2. IMFM, University of Ljubljana, Jadranska 19, 1111, Ljubljana, Slovenia

    Dragan Marušič

  3. Faculty of Science, University of Split, Nikole Tesle 12, 21000, Split, Croatia

    Damir Vukičević

Authors
  1. Klavdija Kutnar
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  2. Dragan Marušič
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  3. Damir Vukičević
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Correspondence to Dragan Marušič.

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Kutnar, K., Marušič, D. & Vukičević, D. On decompositions of leapfrog fullerenes. J Math Chem 45, 406–416 (2009). https://doi.org/10.1007/s10910-008-9414-3

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  • DOI: https://doi.org/10.1007/s10910-008-9414-3

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