3 papers
cs.DS2026
Faster and simpler traversal of 0/1-polytopes
Jiří Fink, Petr Hladík, Arturo Merino +2
Recently, Merino and Mütze (FOCS'23+SICOMP'24) presented an algorithm for computing a Hamilton path on the skeleton of any 0/1-polytope , where …
math.CO2025
Minimum maximal matchings in permutahedra
Sofia Brenner, Jiří 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(π_n) \ge n! (n-1) / (…
math.CO2024
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…