A new upper bound for diagonal Ramsey numbers

  title={A new upper bound for diagonal Ramsey numbers},
  author={David Conlon},
  journal={Annals of Mathematics},
  • D. Conlon
  • Published 30 July 2006
  • Mathematics
  • Annals of Mathematics
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 -Clog k/log log k ( 2k k ). 

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