On Point Covers of Multiple Intervals and Axis-Parallel Rectangles

  • Authors:
  • Gyula Karolyi;Gabor Tardos

  • Affiliations:
  • -;-

  • Venue:
  • On Point Covers of Multiple Intervals and Axis-Parallel Rectangles
  • Year:
  • 1995

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Abstract

In certain families of hypergraphs the transversal number is bounded by some function of the packing number. In this paper we study hypergraphs related to multiple intervals and axis-parallel rectangles, respectively. Essential improvements of former established upper bounds are presented here. We explore the close connection between the two problems at issue.