On Sumsets and Convex Hull
نویسندگان
چکیده
One classical result of Freiman gives the optimal lower bound for the cardinality of A + A if A is a d-dimensional finite set in R. 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.
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 52 شماره
صفحات -
تاریخ انتشار 2014