We consider the problem of finding a low discrepancy coloring for sparse set systems where each element lies in at most t sets. We give an efficient algorithm that finds a coloring with discrepancy O((t log n)^{1/2}), matching the best known non-constructive bound for the problem due to Banaszczyk. The previous algorithms only achieved an O(t^{1/2} log n) bound. The result also extends to the more general Koml\'{o}s setting and gives an algorithmic O(log^{1/2} n) bound
Efficiently computing low discrepancy colorings of various set systems, has been studied extensively...
\u3cp\u3eThe partial coloring method is one of the most powerful and widely used method in combinato...
Given a set system (V, S), V = {1,..., n} and S = {S1,...,Sm}, the minimum discrepancy problem is to...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
\u3cp\u3e We consider the problem of findin...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
Efficiently computing low discrepancy colorings of various set systems, has been studied extensively...
\u3cp\u3eThe partial coloring method is one of the most powerful and widely used method in combinato...
Given a set system (V, S), V = {1,..., n} and S = {S1,...,Sm}, the minimum discrepancy problem is to...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
\u3cp\u3e We consider the problem of findin...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
We consider the problem of finding a low discrepancy coloring for sparse set systems where each elem...
Efficiently computing low discrepancy colorings of various set systems, has been studied extensively...
\u3cp\u3eThe partial coloring method is one of the most powerful and widely used method in combinato...
Given a set system (V, S), V = {1,..., n} and S = {S1,...,Sm}, the minimum discrepancy problem is to...