The maximum size of 4-wise 2-intersecting and 4-wise 2-union families

نویسنده

  • Norihide Tokushige
چکیده

Let F be an n-uniform hypergraph on 2n vertices. Suppose that |F1∩F2∩F3∩F4| ≥ 2 and |F1∪F2∪F3∪ F4| ≤ n−2 holds for all F1,F2,F3,F4 ∈F . We prove that the size of F is at most (2n−4 n−2 ) for n sufficiently large.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2006