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Point-sets with few k-sets Helmut Alt (2007)

Abstract
A k-set of a finite set S of points in the plane is a subset of cardinality k that can be separated from the rest by a straight line. The question of how many k-sets a set of n points can contain is a longstanding open problem where a lower bound of \Omega\Gamma n log k) and an upper bound of O(nk

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Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.25.9561
Source http://www-ma2.upc.es/~hurtado/ksets.ps
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Type text
Language English
Relation 10.1.1.30.6091, 10.1.1.18.1219