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arXiv · 2609.20610

An $\tilde Ω(\log n \log m)$ Information-Theoretic Lower Bound for Randomized Online Set Cover

Roie Levin
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Abstract

We show an information-theoretic lower bound of $Ω\left(\frac{\log n \log m}{\log \log n + \log \log m}\right)$ for online set cover against randomized algorithms, for all sufficiently large $m$ and $n$ satisfying $\log^2 n \leq m \leq 2^n$.

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Roie Levin. 2026-09-17. An $\tilde Ω(\log n \log m)$ Information-Theoretic Lower Bound for Randomized Online Set Cover. https://arxiv.org/abs/2609.20610

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