English

Hereditary Discrepancies in Different Numbers of Colors II

Discrete Mathematics 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.cs/0611126,
  title  = {Hereditary Discrepancies in Different Numbers of Colors II},
  author = {Benjamin Doerr and Mahmoud Fouz},
  journal= {arXiv preprint arXiv:cs/0611126},
  year   = {2007}
}