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Sumsets and the convex hull

2008/10/08 by Matolcsi, Mate, Ruzsa, Imre Z.
#11B50 #11B75 #11P70 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.1485

Abstract

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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