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An improvement of the Beck-Fiala theorem

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journal contribution
posted on 01.03.2015 by Boris Bukh

In 1981 Beck and Fiala proved an upper bound for the discrepancy of a set system of degree d that is independent of the size of the ground set. In the intervening years the bound has been decreased from 2d − 2 to 2d − 4. We improve the bound to 2d − log∗ d

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01/03/2015

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