## Abstract

Let K_{4}^{3}-2e denote the hypergraph consisting of two triples on four points. For an integer n, let t(n,K43-2e) denote the smallest integer d so that every 3-uniform hypergraph G of order n with minimum pair-degree δ2(G)≥d contains ⌊n/4⌋ vertex-disjoint copies of K43-2e. Kühn and Osthus (J Combin Theory, Ser B 96(6) (2006), 767-821) proved that t(n,K43-2e)=n4(1+o(1)) holds for large integers n. Here, we prove the exact counterpart, that for all sufficiently large integers n divisible by 4, A main ingredient in our proof is the recent "absorption technique" of Rödl, Ruciński, and Szemerédi (J. Combin. Theory Ser. A 116(3) (2009), 613-636).

Original language | English (US) |
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Pages (from-to) | 124-136 |

Number of pages | 13 |

Journal | Journal of Graph Theory |

Volume | 75 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2014 |

## Keywords

- absorbing
- factor
- hypergraphs
- tiling

## ASJC Scopus subject areas

- Geometry and Topology