An algorithm for Komlós Conjecture Matching Banaszczyk's bound

N. Bansal, D. Dadush, S. Garg

Research output: Contribution to journalArticleAcademic

117 Downloads (Pure)

Abstract

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.
Original languageEnglish
Article number1605.02882
Number of pages20
JournalarXiv
Publication statusPublished - 10 May 2016

Fingerprint Dive into the research topics of 'An algorithm for Komlós Conjecture Matching Banaszczyk's bound'. Together they form a unique fingerprint.

Cite this