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arXiv · 0808.1713

Loose Hamilton cycles in hypergraphs

Peter Keevash·Daniela Kühn·Richard Mycroft·Deryk Osthus
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Abstract

We prove that any k-uniform hypergraph on n vertices with minimum degree at least n/(2(k-1))+o(n) contains a loose Hamilton cycle. The proof strategy is similar to that used by Kühn and Osthus for the 3-uniform case. Though some additional difficulties arise in the k-uniform case, our argument here is considerably simplified by applying the recent hypergraph blow-up lemma of Keevash.

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Peter Keevash, Daniela Kühn, Richard Mycroft, Deryk Osthus. 2010-12-04. Loose Hamilton cycles in hypergraphs. https://doi.org/10.1016/j.disc.2010.11.013

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