Geodesic
A new upper bound for diagonal Ramsey numbers
David Conlon1
1 Department of Pure Mathematics and Mathematical Statistics<br/>Centre for Mathematical Sciences<br/>University of Cambridge<br/>Wilberforce Road<br/>Cambridge<br/>CB3 0WB<br/>United Kingdom
Annals of mathematics, Tome 170 (2009) no. 2, pp. 941-960.

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

We prove a new upper bound for diagonal two-colour Ramsey numbers, showing that there exists a constant $C$ such that \[r(k+1, k+1) \leq k^{- C {\log k}/{\log \log k}} \textstyle \binom{2k}{k}.\]
DOI : 10.4007/annals.2009.170.941

David Conlon 1

1 Department of Pure Mathematics and Mathematical Statistics<br/>Centre for Mathematical Sciences<br/>University of Cambridge<br/>Wilberforce Road<br/>Cambridge<br/>CB3 0WB<br/>United Kingdom 
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David Conlon. A new upper bound for diagonal Ramsey numbers. Annals of mathematics, Tome 170 (2009) no. 2, pp. 941-960. doi : 10.4007/annals.2009.170.941. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.941/

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