منابع مشابه
A hypergraph extension of Turán's theorem
Fix l ≥ r ≥ 2. Let H l+1 be the r-uniform hypergraph obtained from the complete graph Kl+1 by enlarging each edge with a new set of r− 2 vertices. Thus H l+1 has (r− 2) ( l+1 2 ) + l +1 vertices and ( l+1 2 ) edges. We prove that the maximum number of edges in an n-vertex r-uniform hypergraph containing no copy of H l+1 is (l)r lr ( n r ) + o(n) as n → ∞. This is the first infinite family of ir...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2006
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2005.06.013