An Analytic Approach to Sparse Hypergraphs: Hypergraph Removal

Mathematics – Combinatorics

Scientific paper

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Scientific paper

The use of tools from analysis to approach problems in graph theory has
become an active area of research. Usually such methods are applied to problems
involving dense graphs and hypergraphs; here we give the an extension of such
methods to sparse but pseudorandom hypergraphs. We use this framework to give a
proof of hypergraph removal for sub-hypergraphs of sparse random hypergraphs.

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