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math.CO2025
-chromatic symmetric functions
Tatsuyuki Hikita
By using level one polynomial representations of affine Hecke algebras of type , we obtain a -analogue of the chromatic symmetric functions of unit interval graphs which…
math.CO2024
A proof of the Stanley--Stembridge conjecture
Tatsuyuki Hikita
We give a probabilistic interpretation of the coefficients of the elementary symmetric function expansion of the chromatic quasisymmetric function for any unit interval graph. As a…