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Discrepancy After Adding A Single Set
Authors:Jeong Han Kim  Ji?í Matou?ek  Van H Vu
Institution:(1) Theory Group, Microsoft Research, Redmond, WA 98052, United States;(2) Department of Applied Mathematics and Institute of Theoretical Computer Science (ITI), Charles University, Malostranské nám. 25, 118 00 Praha 1, Czech Republic;(3) Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, United States
Abstract:We show that the hereditary discrepancy of a hypergraph $$
{\user1{\mathcal{F}}}
$$ on n points increases by a factor of at most O(log n) when one adds a new edge to $$
{\user1{\mathcal{F}}}
$$ .
Keywords:05D40
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