Regularity inheritance in pseudorandom graphs
Allen, P.
, Böttcher, J.
, Skokan, J.
& Stein, M.
(2020).
Regularity inheritance in pseudorandom graphs.
Random Structures and Algorithms,
56(2), 306 - 338.
https://doi.org/10.1002/rsa.20851
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.
| Item Type | Article |
|---|---|
| Copyright holders | © 2019 The Authors |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1002/rsa.20851 |
| Date Deposited | 07 Feb 2019 |
| Acceptance Date | 16 Nov 2018 |
| URI | https://researchonline.lse.ac.uk/id/eprint/100044 |
Explore Further
- http://www.lse.ac.uk/Mathematics/people/Peter-Allen?from_serp=1 (Author)
- http://www.lse.ac.uk/Mathematics/people/Julia-Boettcher?from_serp=1 (Author)
- http://www.lse.ac.uk/Mathematics/people/Jozef-Skokan?from_serp=1 (Author)
- https://www.scopus.com/pages/publications/85065206206 (Scopus publication)
- https://onlinelibrary.wiley.com/journal/10982418 (Official URL)
ORCID: https://orcid.org/0000-0001-6555-3501
ORCID: https://orcid.org/0000-0002-4104-3635
ORCID: https://orcid.org/0000-0003-3996-7676
