The asymptotic number of triple systems not containing a fixed one
نویسندگان
چکیده
For a fixed 3-uniform hypergraph F , call a hypergraph F-free if it contains no subhypergraph isomorphic to F . Let ex(n,F) denote the size of a largest F-free hypergraph G ⊆ [n]. Let Fn(F) denote the number of distinct labelled F-free G ⊆ [n]. We show that Fn(F) = 2ex(n,F)+o(n 3), and discuss related problems.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 235 شماره
صفحات -
تاریخ انتشار 2001