On the multicolour Ramsey numbers $R(3,3,k)$

Bruno Andrades, Marcelo Campos, Robert Morris

In this paper we determine the Ramsey number $R(3,3,k)$ up to a constant factor, showing that $$R(3,3,k)=\Theta \left(\frac{k^3}{(\log k{)}^2}\right).$$ The proof of the lower bound com…