论文信息 - An Improvement of the Beck-Fiala Theorem

An Improvement of the Beck-Fiala Theorem

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.

Boris Bukh

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