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arXiv · 2206.08734

A remark on Kashin's discrepancy argument and partial coloring in the Komlós conjecture

Afonso S. Bandeira·Antoine Maillard·Nikita Zhivotovskiy
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Abstract

In this expository note, we discuss an early partial coloring result of B. Kashin [C. R. Acad. Bulgare Sci., 1985]. Although this result only implies Spencer's six standard deviations [Trans. Amer. Math. Soc., 1985] up to a $\log\log n$ factor, Kashin's argument gives a simple proof of the existence of a constant discrepancy partial coloring in the setup of Komlós conjecture.

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Afonso S. Bandeira, Antoine Maillard, Nikita Zhivotovskiy. 2022-08-25. A remark on Kashin's discrepancy argument and partial coloring in the Komlós conjecture. https://arxiv.org/abs/2206.08734

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