4 papers
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 suffic…
Flipping odd matchings in geometric and combinatorial settings
Oswin Aichholzer, Sofia Brenner, Joseph Dorfer +4
We study the problem of reconfiguring odd matchings, that is, matchings that cover all but a single vertex. Our reconfiguration operation is a so-called flip where the unmatched ve…
Minimum maximal matchings in permutahedra
Sofia Brenner, JiÅÃ Fink, Hung. P. Hoang +2
We prove that the minimal size of a maximal matching in the permutahedron is asymptotically . On the one hand, we obtain a lower bound $M(Ï_n) \ge n! (n-1)…
Generating all invertible matrices by row operations
Petr Gregor, Hung P. Hoang, Arturo Merino +1
We show that all invertible matrices over any finite field can be generated in a Gray code fashion. More specifically, there exists a listing such that…