The multipartite Ramsey number for the 3-path of length three
Tomasz Luczak, Joanna Polcyn·2017-06-28·via math.CO updates on arXiv.org
We study the Ramsey number for the 3-path of length three and $n$ colors and show that $R(P^3_3;n)\le λ_0 n+7\sqrt{n}$, for some explicit constant $λ_0=1.97466\dots$.