An approximate blow-up lemma for sparse hypergraphs

Allen, P.ORCID logo, Böttcher, J.ORCID logo, Hng, E. K., Skokan, J.ORCID logo & Davies, E. (2022). An approximate blow-up lemma for sparse hypergraphs. Procedia Computer Science, 195, 394 - 403. https://doi.org/10.1016/j.procs.2021.11.048
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Abstract

We obtain an approximate sparse hypergraph version of the blow-up lemma, showing that partite hypergraphs with sufficient regularity of small subgraph counts behave as if they were complete partite for the purpose of embedding bounded degree hypergraphs.

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