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arXiv · 1606.01168

Regularity inheritance in pseudorandom graphs

Peter Allen·Julia Böttcher·Jozef Skokan·Maya Stein
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Abstract

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 [Adv. Math. 256 (2014), 206--290]. These inheritance lemmas also imply improved $H$-counting lemmas for subgraphs of bijumbled graphs, for some $H$.

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Peter Allen, Julia Böttcher, Jozef Skokan, Maya Stein. 2019-02-07. Regularity inheritance in pseudorandom graphs. https://arxiv.org/abs/1606.01168

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