Mathematics > Combinatorics
[Submitted on 20 Sep 2022 (v1), last revised 24 Oct 2022 (this version, v2)]
Title:Corner-free sets via the torus
View PDFAbstract:A corner is a triple of points in $\Bbb{Z}^2$ of the form $(x,y),(x+d,y),(x,y+d)$ where $d\neq 0$. One can think of them as being 2D-analogues to 3-term arithmetic progressions.
In this short note, we extend ideas of Green-Wolf from this latter setting to the former, achieving slightly better constructions of corner-free sets.
Submission history
From: Zach Hunter [view email][v1] Tue, 20 Sep 2022 21:42:18 UTC (7 KB)
[v2] Mon, 24 Oct 2022 22:36:17 UTC (7 KB)
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