Article

Discrete & Computational Geometry

, Volume 4, Issue 1, pp 287-290

Disjoint edges in geometric graphs

  • N. AlonAffiliated withDepartment of Mathematics, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv
  • , P. ErdösAffiliated withMathematical Institute of the Hungarian Academy of Sciences

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Abstract

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.