3 papers
math.CO2025
The poset of maximal tubings of the cycle graph is a lattice
Ben Adenbaum, Emily Barnard, Max Hlavacek +4
The poset of maximal tubings of a graph generalizes several well-known and remarkable partial orders. Notable examples include the weak Bruhat order and the Tamari lattice, posets…
math.CO2024
Polyhedral geometry of refined -Catalan numbers
Matthias Beck, Mitsuki Hanada, Max Hlavacek +3
We study a refinement of the -Catalan numbers introduced by Xin and Zhang (2022, 2023) using tools from polyhedral geometry. These refined -Catalan numbers depend on a ve…
math.CO2022
Inequalities for -vectors of Lattice Polytopes
Matthias Beck, Danai Deligeorgaki, Max Hlavacek +1
The Ehrhart polynomial of a lattice polytope counts the number of integer points in the -th integral dilate of . The -vector of , introduced by…