Geodesic
A new proof of the graph removal lemma
Jacob Fox1
1 Department of Mathematics<br/> Massachusetts Institute of Technology<br/> Cambridge, MA 02139-4307
Annals of mathematics, Tome 174 (2011) no. 1, pp. 561-579.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $H$ be a fixed graph with $h$ vertices. The graph removal lemma states that every graph on $n$ vertices with $o(n^h)$ copies of $H$ can be made $H$-free by removing $o(n^2)$ edges. We give a new proof which avoids Szemerédi’s regularity lemma and gives a better bound. This approach also works to give improved bounds for the directed and multicolored analogues of the graph removal lemma. This answers questions of Alon and Gowers.
DOI : 10.4007/annals.2011.174.1.17

Jacob Fox 1

1 Department of Mathematics<br/> Massachusetts Institute of Technology<br/> Cambridge, MA 02139-4307 
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Jacob Fox. A new proof of the graph removal lemma. Annals of mathematics, Tome 174 (2011) no. 1, pp. 561-579. doi : 10.4007/annals.2011.174.1.17. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.17/

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