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Linear and Hereditary Discrepancy

Published online by Cambridge University Press:  06 November 2000

BENJAMIN DOERR
BENJAMIN DOERR
Affiliation:
Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany (e-mail: bed@numerik.uni-kiel.de)
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Abstract

Let A be an m × n matrix and q := [lfloor ]log2(m)[rfloor ]+1. In this article we improve the well-known bound lindisc(A) [les ] 2 herdisc(A) and show that

formula here

As with the previous proofs relating to this problem, ours is constructive. We will give an on-line algorithm and analyse it using game theory.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 9 , Issue 4 , July 2000 , pp. 349 - 354
Copyright
2000 Cambridge University Press

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