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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.
“Integer-making” theorems
József Beck and Tibor Fiala · 1981
Earlier work this paper cites.
Six standard deviations suffice
Joel Spencer · 1985
Earlier work this paper cites.
A note on the Beck-Fiala theorem
Debe Bednarchak and Martin Helm · 1997
Earlier work this paper cites.
Balancing vectors and Gaussian measures of n n -dimensional convex bodies
Wojciech Banaszczyk · 1998
Cited alongside, same era.
On the Beck-Fiala theorem
Martin Helm · 1999
Cited alongside, same era.
Geometric discrepancy
Jiří Matoušek · 1999
Cited alongside, same era.
The discrepancy method
Bernard Chazelle · 2000
Later among the works it cites.
The Komlós conjecture holds for vector colorings
Aleksandar Nikolov · 2013
Closest in time.
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