A remark on Kashin's discrepancy argument and partial coloring in the Komlós conjecture (Q2694631)
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scientific article; zbMATH DE number 7671931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on Kashin's discrepancy argument and partial coloring in the Komlós conjecture |
scientific article; zbMATH DE number 7671931 |
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A remark on Kashin's discrepancy argument and partial coloring in the Komlós conjecture (English)
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4 April 2023
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Summary: In this expository note, we discuss an early partial coloring result of \textit{B. S. Kashin} [C. R. Acad. Bulg. Sci. 38, 1613--1615 (1985; Zbl 0664.47019)]. Although this result only implies \textit{J. Spencer}'s six standard deviations [Trans. Am. Math. Soc. 289, 679--706 (1985; Zbl 0577.05018)] 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 the Komlós conjecture.
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discrepancy
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combinatorics
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Komlós conjecture
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