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arXiv · 2209.07651

A short proof that $w(3,k) \ge (1-o(1))k^2$

Zach Hunter
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Abstract

Here we present a short proof that the two-color van der Waerden number $w(3,k)$ is bounded from below by $(1-o(1))k^2$. Previous work has already shown that a superpolynomial lower bound holds for $w(3,k)$. However, we believe our result is still is of interest due to our techniques.

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Zach Hunter. 2022-10-24. A short proof that $w(3,k) \ge (1-o(1))k^2$. https://arxiv.org/abs/2209.07651

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