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math.CO2026
Splitting Sandwiches Unevenly via Unique Sink Orientations and Rainbow Arrangements
Michaela Borzechowski, Sebastian Haslebacher, Hung P. Hoang +2
The famous Ham-Sandwich theorem states that any point sets in can be simultaneously bisected by a single hyperplane. The -Ham-Sandwich theorem gives a suffici…
math.CO2023★ 1 cited
On Phases of Unique Sink Orientations
Michaela Borzechowski, Simon Weber
A unique sink orientation (USO) is an orientation of the -dimensional hypercube graph such that every non-empty face contains a unique sink. Schurr showed that given any -dim…