Discrete & Computational Geometry

, Volume 4, Issue 4, pp 287–290 | Cite as

Disjoint edges in geometric graphs

  • N. Alon
  • P. Erdös


Answering an old question in combinatorial geometry, we show that any configuration consisting of a setV ofn points in general position in the plane and a set of 6n − 5 closed straight line segments whose endpoints lie inV, contains three pairwise disjoint line segments.


General Position Pairwise Disjoint Discrete Comput Geom Straight Line Segment Geometric Graph 
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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • N. Alon
    • 1
  • P. Erdös
    • 2
  1. 1.Department of Mathematics, Sackler Faculty of Exact SciencesTel Aviv University, Ramat AvivTel AvivIsrael
  2. 2.Mathematical Institute of the Hungarian Academy of SciencesBudapestHungary

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