3 papers
math.CO2026
K-promotion on m-packed labelings of posets
Jamie Kimble, Bruce E. Sagan, Avery St. Dizier
Schutzenberger's promotion operator, pro, is a fundamental map in dynamical algebraic combinatorics. At first, its action was mainly considered on standard Young tableaux. But pro…
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…
math.CO2024
The -positivity of the chromatic symmetric function for twinned paths and cycles
Esther Banaian, Kyle Celano, Megan Chang-Lee +7
The operation of twinning a graph at a vertex was introduced by Foley, Hoà ng, and Merkel (2019), who conjectured that twinning preserves -positivity of the chromatic symmetric…