Loose Hamilton cycles in hypergraphs

نویسندگان

  • Peter Keevash
  • Daniela Kühn
  • Richard Mycroft
  • Deryk Osthus
چکیده

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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عنوان ژورنال:
  • Discrete Mathematics

دوره 311  شماره 

صفحات  -

تاریخ انتشار 2011