Laura Pierson

collaborators

4 papers

math.CO2025

Distinguishability and linear independence for $H$ -chromatic symmetric functions

Shao Yuan Lin, Laura Pierson

We study the $H$ -chromatic symmetric functions $X_{G}^{H}$ (introduced in (arXiv:2011.06063) as a generalization of the chromatic symmetric function (CSF) $X_{G}$ ), which track homomorph…

math.CO2025

On graphs with equal and different Kromatic symmetric functions

Laura Pierson, Soham Samanta

The Kromatic symmetric function (KSF) $X_{G}$ of a graph $G$ is a $K$ -analogue introduced by Crew, Pechenik, and Spirkl in arXiv:2301.02177 of Stanley's chromatic symmetri…

math.CO2025

Hopf algebra maps taking chromatic symmetric functions to their graph complements

Shao Yuan Lin, Laura Pierson

Cho and van Willigenburg (arXiv:1508.07670) and Alinaeifard, Wang, and van Willgenburg (arXiv:2010.00147) introduce multiplicative chromatic bases for the ring $Λ$ of symmetric fun…

math.CO2025

$K$ -analogues of Hivert's divided difference operators

Laura Pierson

Several families of polynomials of combinatorial and representation theoretic interest (notably the Schur polynomials $s_{λ}$ , Demazure characters $D_{a}$ , and Demazure atom…

Distinguishability and linear independence for H-chromatic symmetric functions

On graphs with equal and different Kromatic symmetric functions

Hopf algebra maps taking chromatic symmetric functions to their graph complements

K-analogues of Hivert's divided difference operators

Distinguishability and linear independence for $H$ -chromatic symmetric functions

$K$ -analogues of Hivert's divided difference operators