Regularity inheritance in pseudorandom graphs

Allen, P.ORCID logo, Böttcher, J.ORCID logo, Skokan, J.ORCID logo & Stein, M. (2020). Regularity inheritance in pseudorandom graphs. Random Structures and Algorithms, 56(2), 306 - 338. https://doi.org/10.1002/rsa.20851
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Advancing the sparse regularity method, we prove one-sided and two-sided regularity inheritance lemmas for subgraphs of bijumbled graphs, improving on results of Conlon, Fox, and Zhao. These inheritance lemmas also imply improved H-counting lemmas for subgraphs of bijumbled graphs, for some H.

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