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arXiv · 1009.3754

Hamilton cycles in 5-connected line graphs

Tomáš Kaiser·Petr Vrána
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Abstract

A conjecture of Carsten Thomassen states that every 4-connected line graph is hamiltonian. It is known that the conjecture is true for 7-connected line graphs. We improve this by showing that any 5-connected line graph of minimum degree at least 6 is hamiltonian. The result extends to claw-free graphs and to Hamilton-connectedness.

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Tomáš Kaiser, Petr Vrána. 2011-03-31. Hamilton cycles in 5-connected line graphs. https://arxiv.org/abs/1009.3754

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