2 papers
math.CO2026
Combinatorial slicing problems of polytopes: How (not) to reconstruct a polytope from its slices
Anna Birkemeyer, Anouk E. Brose, Marie-Charlotte Brandenburg +1
We study combinatorial aspects of hyperplane sections of polytopes, focusing on how much the combinatorics of the sections determines the combinatorics of the original polytope. We…
math.CO2025
On Lattice Diameter Segments and A Discrete Borsuk Partition Problem
Anouk E. Brose, Jesús A. De Loera, Gyivan Lopez-Campos +1
The lattice diameter of a bounded set measures the maximal number of lattice points in a segment whose endpoints are lattice points in . Such a segment…