
doi: 10.1002/rsa.20108
AbstractIn this article we discuss several combinatorial problems that can be addressed by the Regularity Method for hypergraphs. Based on the recent results of Nagle, Schacht, and the authors, we give here solutions to these problems.In particular, we prove the following: Let ℱ be a k‐uniform hypergraph on t vertices and suppose an n‐vertex k‐uniform hypergraph ℋ︁ contains only o(nt) copies of ℱ. Then one can delete o(nk) edges of ℋ︁ to make it ℱ‐free.Similar results were recently obtained by W. T. Gowers. © 2005 Wiley Periodicals, Inc. Random Struct. Alg., 2006
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