2 papers
math.CO2024
On Enumerating Higher Bruhat Orders Through Deletion and Contraction
Herman Chau
The higher Bruhat orders were introduced by Manin-Schechtman to study discriminantal hyperplane arrangements and subsequently studied by Ziegler, who connected $…
math.CO2024
Promotion, Tangled Labelings, and Sorting Generating Functions
Margaret Bayer, Herman Chau, Mark Denker +4
We study Defant and Kravitz's generalization of Schützenberger's promotion operator to arbitrary labelings of finite posets in two directions. Defant and Kravitz showed that apply…