Hereditary Discrepancies in Different Numbers of Colors II

Details Hereditary Discrepancies in Different Numbers of Colors II Hereditary Discrepancies in Different Numbers of Colors II

2006-11-24

arxiv.org/abs/cs/0611126v1

Computer Science

Discrete Mathematics

Scientific paper

We bound the hereditary discrepancy of a hypergraph $\HH$ in two colors in
terms of its hereditary discrepancy in $c$ colors. We show that
$\herdisc(\HH,2) \le K c \herdisc(\HH,c)$, where $K$ is some absolute constant.
This bound is sharp.

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