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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 applyi…
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, Hoàng, and Merkel (2019), who conjectured that twinning preserves -positivity of the chromatic symmetric f…