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A note on the circle containment problem
Authors:Ryan Hayward
Affiliation:(1) Computer Science Department, Rutgers University, 08903 New Brunswick, NJ, USA
Abstract:We extend a result due to Bárányet al. and prove the following theorem: given any setS ofn points in the plane, there are pointsx andy inS, such that every circle that containsx andy contains at least [5/84(n – 2)] other points ofS.
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