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The Turán problem for hypergraphs of fixed size

Keevash, Peter (2005) The Turán problem for hypergraphs of fixed size. Electronic Journal of Combinatorics, 12 (1). N11. ISSN 1077-8926. doi:10.37236/1978.

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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].

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Additional Information:© 2--5 The Author(s). Submitted: October 22, 2004; Accepted: June 3, 2005; Published: June 14, 2005.
Issue or Number:1
Classification Code:Mathematics Subject Classi cations: 05D05
Record Number:CaltechAUTHORS:KEEejc05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1140
Deposited By: Archive Administrator
Deposited On:22 Dec 2005
Last Modified:08 Nov 2021 19:07

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