Abstract
We show that for infinitely many $N$ there is a set $A \subset [N]^2$ of size $2^{-(c + o(1)) \sqrt{\log_2 N}} N^2$ not containing any configuration $(x, y), (x + d, y), (x, y + d)$ with $d \neq 0$, where $c = 2 \sqrt{2 \log_2 \frac{4}{3}} \approx 1.822\dots$.
Publisher
New Zealand Journal of Mathematics Committee
Cited by
1 articles.
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1. Removal lemmas and approximate homomorphisms;Combinatorics, Probability and Computing;2022-01-24