%0 Journal Article
%T On sumsets and convex hull
%A Karoly Boroczky
%A Francisco Santos
%A Oriol Serra
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s00454-014-9633-2
%X One classical result of Freimann gives the optimal lower bound for the cardinality of A+A if A is a d-dimensional finite set in the Euclidean d-space. Matolcsi and Ruzsa have recently generalized this lower bound to |A+kB| if B is d-dimensional, and A is contained in the convex hull of B. We characterize the equality case of the Matolcsi-Ruzsa bound. The argument is based partially on understanding triangulations of polytopes.
%U http://arxiv.org/abs/1307.6316v1