Counting substructures III: quadruple systems
نویسنده
چکیده
For various quadruple systems F , we give asymptotically sharp lower bounds on the number of copies of F in a quadruple system with a prescribed number of vertices and edges. Our results extend those of Füredi, Keevash, Pikhurko, Simonovits and Sudakov who proved under the same conditions that there is one copy of F . Our proofs use the hypergraph removal Lemma and stability results for the corresponding Turán problem proved by the above authors.
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