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{\bf Friedrich Eisenbrand, J\'anos Pach, Thomas Rothvo\ss\ and Nir B. Sopher}
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{\bf Convexly Independent Subsets of the Minkowski Sum of Planar Point Sets}
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Let $P$ and $Q$ be finite sets of points in the plane.  In this note
we consider the largest cardinality of a subset of the Minkowski sum
$S\subseteq P \oplus Q$ which consist of convexly independent
points. We show that, if $|P| = m$ and $|Q| = n$ then $|S| = O(m^{2/3}
n^{2/3} + m + n)$.



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