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 $d$ point sets in ${\mathbb{R}}^d$ can be simultaneously bisected by a single hyperplane. The $\alpha$-Ham-Sandwich theorem gives a suffici…