Published September 2009
| Submitted
Journal Article
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A new upper bound for diagonal Ramsey numbers
- Creators
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Conlon, David
Chicago
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Abstract
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) ≤ k^[-C log k/(log log k (2k_k).
Additional Information
© 2009 Princeton University. Received 11 July 2006; revised 14 November 2007. The author is kindly supported by a grant from St John's College, Cambridge. I would like to thank Béla Bollobás, Tim Gowers, Ben Green and Tom Sanders for their advice and encouragement.Attached Files
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Additional details
- Eprint ID
- 97812
- Resolver ID
- CaltechAUTHORS:20190812-162957624
- St. John's College, Cambridge
- Created
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2019-08-15Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field