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COMGEO
2010
ACM

Centerpoints and Tverberg's technique

11 years 10 months ago
Centerpoints and Tverberg's technique
Using a technique that Tverberg and Vrecica [TV93] discovered to give a surprisingly simple proof of Tverberg's theorem, we show the following extension of the centerpoint theorem. Given any set P of n points in the plane, and a parameter 1/3 c 1, one can always find a disk D such that any closed half-space containing D contains at least cn points of P. Furthermore, D contains at most (3c - 1)n/2 points of P (the case c = 1 is trivial
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where COMGEO
Authors Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfraz Raza
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