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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…