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Improved Algorithms for Beck--Fiala with Bounded Sets

Altschuler, Dylan J.
arXiv (All) · Papers
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combinatoricsdata-structures-and-algorithmsdiscrete-mathematicsprobability
We give an efficient algorithm with improved algorithmic guarantees for the (offline) Beck--Fiala problem when the sets have bounded size. Let $A$ be an arbitrary matrix $A\in\{0,1\}^{m\times n}$ with at most $d$ ones per column and at most $s$ ones per row. Let $\log^*$ denote the iterated logarith
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