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Constructive Discrepancy Minimization by Walking on the Edges

Constructive Discrepancy Minimization by Walking on the Edges

Minimizing the discrepancy of a set system is a fundamental problem in combinatorics. One of the cornerstones in this area is the celebrated six standard deviations result of Spencer (AMS 1985): In any system of n sets in a universe of size n, there always exists a coloring which achieves …