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arxiv: 1706.08937 · v1 · pith:X2YUXVRWnew · submitted 2017-06-27 · 🧮 math.CO

The multipartite Ramsey number for the 3-path of length three

classification 🧮 math.CO
keywords lambdalengthnumberpathramseythreecolorsconstant
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We study the Ramsey number for the 3-path of length three and $n$ colors and show that $R(P^3_3;n)\le \lambda_0 n+7\sqrt{n}$, for some explicit constant $\lambda_0=1.97466\dots$.

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