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math.MG2026
Minimal covering bodies and Brunn-Minkowski type inequalities for the covering radius
Giulia Codenotti, Ansgar Freyer, Katarina Krivokuća
Inclusion minimal convex bodies with the property that the integer translates of cover the space are studied. Such bodies are referred to as minimal covering bodies and it…
math.MG2026
Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case
Gennadiy Averkov, Giulia Codenotti, Ansgar Freyer +1
A variant of the flatness problem from integer programming is studied, in which one considers convex bodies in with at most interior lattice points. The maximum…