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math.CO2025
On Lattice Diameter Segments: Algorithms and Structure
Gennadiy Averkov, Anouk E. Brose, Jesús A. De Loera +2
The lattice diameter of a bounded set counts the maximal number of lattice points in a segment whose endpoints are lattice points in . Such a segment is…
math.CO2025
Matroids, intersecting bases, and Borsuk property
Gyivan López-Campos, Frédéric Meunier, Jorge L. Ramírez Alfonsín
A subset of has the Borsuk property if it can be decomposed into at most parts of diameter smaller than . This is an important geometric property, inspir…