Discrepancy of Set-systems and Matrices

  • Lovász L
  • Spencer J
  • Vesztergombi K
  • 5


    Mendeley users who have this article in their library.
  • 64


    Citations of this article.


The discrepancy of a set-system is the minimum number d for which the vertices can be 2-coloured red and blue so that in each. of the given sets, the difference between the numbers of red and blue vertices is at most d. In this paper. we introduce various mathematically more tractable variants of this notion. We prove several inequalities relating these numbers, and formulate several further conjectures. We extend the notion to a general matrix, and formulate it as a problem of covering the unit cube by convex bodies. © 1986, Academic Press Inc. (London) Limited. All rights reserved.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • L. Lovász

  • J. Spencer

  • K. Vesztergombi

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free