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arxiv: 0810.1485 · v1 · submitted 2008-10-08 · 🧮 math.CO

Sumsets and the convex hull

classification 🧮 math.CO
keywords convexhulladdedcardinalityconsiderdifferentdimensionalextend
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We extend Freiman's inequality on the cardinality of the sumset of a $d$ dimensional set. We consider different sets related by an inclusion of their convex hull, and one of them added possibly several times.

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