A New Upper Bound for Diagonal Ramsey Numbers

dc.creatorConlon, David
dc.date2006-07-30
dc.date.accessioned2026-07-07T07:21:10Z
dc.date.available2026-07-07T07:21:10Z
dc.descriptionWe prove a new upper bound for diagonal two-colour Ramsey numbers, showing that there exists a constant $C$ such that \[r(k+1, k+1) \leq k^{- C \frac{\log k}{\log \log k}} \binom{2k}{k}.\]
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0607788
dc.identifierhttp://arxiv.org/abs/math/0607788
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115210
dc.subjectCombinatorics
dc.subject05C55
dc.titleA New Upper Bound for Diagonal Ramsey Numbers
dc.typetext

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