Counting in hypergraphs via regularity inheritance

Davies, E. (2015). Counting in hypergraphs via regularity inheritance. Electronic Notes in Discrete Mathematics, 49, 413-417. https://doi.org/10.1016/j.endm.2015.06.058
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We develop a theory of regularity inheritance in 3-uniform hypergraphs. As a simple consequence we deduce a strengthening of a counting lemma of Frankl and Rödl. We believe that the approach is sufficiently flexible and general to permit extensions of our results in the direction of a hypergraph blow-up lemma.

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