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Published June 14, 2005 | Published
Journal Article Open

The Turán problem for hypergraphs of fixed size

Keevash, Peter

Abstract

We obtain a general bound on the Turán density of a hypergraph in terms of the number of edges that it contains. If F is an r-uniform hypergraph with f edges we show that [pi](F) < [f−2]/[f−1] −(1+o(1))(2r!2=rf3−2=r)^−1, for fixed r>=3 and f->[infinity].

Additional Information

© 2--5 The Author(s). Submitted: October 22, 2004; Accepted: June 3, 2005; Published: June 14, 2005.

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