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Extremal Problems for Discrepancy

  • L. Lovász
  • K. Vesztergombi
Part of the Algorithms and Combinatorics 8 book series (AC, volume 8)

Abstract

We determine the maximum number of edges in a hypergraph with a given number of vertices and given hereditary discrepancy. We derive bounds on the maximum number of rows in an integral matrix with a given number of columns and with given hereditary discrepancy. The main tool is a geometric interpretation of discrepancy and a relation between the volumes of polar convex bodies.

Keywords

Convex Body Extremal Problem Linear Discrepancy Unit Cube Integral Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • L. Lovász
    • 1
  • K. Vesztergombi
    • 2
  1. 1.Department of Computer ScienceL. Eötvös UniversityBudapestHungary
  2. 2.Faculty of Electrical Engineering, Department of MathematicsBudapest University of TechnologyBudapestHungary

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