Showing math.COShow all
2 papers · 1 filter
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
Rational Dyck paths
Elena Barcucci, Antonio Bernini, Stefano Bilotta +1
Given a positive rational , we consider Dyck paths having height at most two with some constraints on the number of consecutive peaks and consecutive valleys, depending on .…