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arXiv · 0801.3854

Long cycles in fullerene graphs

D. Král'·O. Pangrác·J. -S. Sereni·R. Skrekovski
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Abstract

It is conjectured that every fullerene graph is hamiltonian. Jendrol' and Owens proved [J. Math. Chem. 18 (1995), pp. 83--90] that every fullerene graph on n vertices has a cycle of length at least 4n/5. In this paper, we improve this bound to 5n/6-2/3.

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D. Král', O. Pangrác, J. -S. Sereni, R. Skrekovski. 2011-01-24. Long cycles in fullerene graphs. https://doi.org/10.1007/s10910-008-9390-7

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