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» Centerpoints and Tverberg's technique
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COMGEO
2010
ACM
13 years 4 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 th...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
COMGEO
2010
ACM
13 years 4 months ago
Approximate centerpoints with proofs
We present the IteratedTverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S Rd with running time subexponential in d. The alg...
Gary L. Miller, Donald Sheehy
COMPGEOM
2009
ACM
13 years 11 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy