On the Number of Balanced Lines

نویسندگان

  • János Pach
  • Rom Pinchasi
چکیده

Given a set of n black and n white points in general position in the plane, a line l determined by them is said to be balanced if each open half-plane bounded by l contains precisely the same number of black points as white points. It is proved that the number of balanced lines is at least n. This settles a conjecture of George Baloglou.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 25  شماره 

صفحات  -

تاریخ انتشار 2001