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arXiv · 1409.2440

A computer-assisted proof of Barnette-Goodey conjecture: Not only fullerene graphs are Hamiltonian

František Kardoš
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Abstract

Fullerene graphs, i.e., 3-connected planar cubic graphs with pentagonal and hexagonal faces, are conjectured to be Hamiltonian. This is a special case of a conjecture of Barnette and Goodey, stating that 3-connected planar graphs with faces of size at most 6 are Hamiltonian. We prove the conjecture.

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František Kardoš. 2017-08-16. A computer-assisted proof of Barnette-Goodey conjecture: Not only fullerene graphs are Hamiltonian. https://arxiv.org/abs/1409.2440

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