Kohayakawa, Yoshiharu, Rödl, Vojtech, Schacht, Mathias and Skokan, Jozef 
ORCID: 0000-0003-3996-7676
(2010)
On the triangle removal lemma for subgraphs of sparse pseudorandom graphs.
In: Barany, Imre, Solymosi, József and Sagi, Gabor, (eds.)
An Irregular Mind: Szemerédi Is 70.
Bolyai Society mathematical studies (21).
Springer Berlin / Heidelberg, New York, USA, pp. 359-404.
ISBN 9783642144431
Abstract
We study an extension of the triangle removal lemma of Ruzsa and Szemeredi [Triple systems with no six points carrying three triangles, Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. II, North-Holland, Amsterdam, 1978, pp. 939-945], which gave rise to a purely combinatorial proof of the fact that sets of integers of positive upper density contain three-term arithmetic progressions, a result first proved by Roth [On certain sets of integers, J. London Math. Soc. 28 (1953), 104-109].
| Item Type: | Book Section |
|---|---|
| Official URL: | http://www.springer.com |
| Additional Information: | © 2010 Springer Science+Business Media |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 11 May 2011 13:19 |
| Last Modified: | 15 Sep 2023 09:37 |
| URI: | http://eprints.lse.ac.uk/id/eprint/36089 |
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