Hamilton ℓ-cycles in uniform hypergraphs

  • Authors:
  • Daniela Kühn;Richard Mycroft;Deryk Osthus

  • Affiliations:
  • School of Mathematics, University of Birmingham, Birmingham, B15 2TT, United Kingdom;School of Mathematics, University of Birmingham, Birmingham, B15 2TT, United Kingdom;School of Mathematics, University of Birmingham, Birmingham, B15 2TT, United Kingdom

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2010

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Abstract

We say that a k-uniform hypergraph C is an @?-cycle if there exists a cyclic ordering of the vertices of C such that every edge of C consists of k consecutive vertices and such that every pair of consecutive edges (in the natural ordering of the edges) intersects in precisely @? vertices. We prove that if 1=