new stoc25 paper on nonuniform scut

2025-06-12 15:56:01 +08:00 · 2025-06-12 15:56:01 +08:00 · dd694e9cd8
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@ -201,6 +201,8 @@ Another possible approach for \nonuscut{} would be making the number of demand v

 Arora, Lee and Naor \cite{arora_euclidean_2005,arora_frechet_2007} proved that there is an embedding from $\ell_2^2$ to $\ell_1$ with distortion $O(\sqrt{\log n}\log \log n)$. This implies an approximation for \nonuscut{} with the same ratio.

+Recently the $O(\sqrt{\log n}\log \log n)$ gap has been improved to $\Theta(\sqrt{\log n})$\footnote{STOC '25 \url{https://web.math.princeton.edu/~naor/homepage files/local-growth-STOC.pdf}}.
+
 \section{What problem can I work on?}

 \subsection{Nealy uniform \scut{}}