A new upper bound for diagonal Ramsey numbers

成果类型:
Article
署名作者:
Conlon, David
刊物名称:
ANNALS OF MATHEMATICS
ISSN/ISSBN:
0003-486X
DOI:
10.4007/annals.2009.170.941
发表日期:
2009
页码:
941-960
关键词:
摘要:
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).