3 papers
math.CO2024
A note on the log-concavity of parking functions
Joseph Pappe
We settle a conjecture of Bóna regarding the log-concavity of a certain statistic on parking functions by utilizing recent log-concavity results on matroids. This result allows us…
math.CO2024
When is the chromatic quasisymmetric function symmetric?
Maria Gillespie, Joseph Pappe, Kyle Salois
We investigate the problem of when a chromatic quasisymmetric function (CQF) of a graph is in fact symmetric. We first prove the remarkable fact that if a product of…
math.CO2024
Hook-valued tableau uncrowding and tableau switching
Jihyeug Jang, Jang Soo Kim, Jianping Pan +2
Refined canonical stable Grothendieck polynomials were introduced by Hwang, Jang, Kim, Song, and Song. There exist two combinatorial models for these polynomials: one using hook-va…