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math.CO2008
Plunnecke's inequality for different summands
Katalin Gyarmati, Mate Matolcsi, Imre Z. Ruzsa
The aim of this paper is to prove a general version of Plünnecke's inequality. Namely, assume that for finite sets , we have information on the size of the sumset…
math.CO2008
Sumsets and the convex hull
Mate Matolcsi, Imre Z. Ruzsa
We extend Freiman's inequality on the cardinality of the sumset of a dimensional set. We consider different sets related by an inclusion of their convex hull, and one of them a…