2 papers
math.CO2026
The mex statistic on combinatorial structures
Antonio Bernini, Stefano Bilotta, Giulio Cerbai +1
We extend the notion of mex, which is central in combinatorial number theory, to an arbitrary combinatorial structure, and we prove a general theorem to determine the generating fu…
math.CO2024
Between weak and Bruhat: the middle order on permutations
Mathilde Bouvel, Luca Ferrari, Bridget Eileen Tenner
We define a partial order on permutations of any given size , which is the image of a natural partial order on inversion sequences. We call this the ``middle ord…