9 papers · 1 filter
New interpretations for Kromatic symmetric function expansions
Aarush Kulkarni, Laura Pierson
The Kromatic symmetric function (KSF) , introduced by Crew, Pechenik, and Spirkl (2026), is a -theoretic analogue of the chromatic symmetric function (CSF) $X_…
Distinguishability and linear independence for -chromatic symmetric functions
Shao Yuan Lin, Laura Pierson
We study the -chromatic symmetric functions (introduced in (arXiv:2011.06063) as a generalization of the chromatic symmetric function (CSF) ), which track homomorph…
On graphs with equal and different Kromatic symmetric functions
Laura Pierson, Soham Samanta
The Kromatic symmetric function (KSF) of a graph is a -analogue introduced by Crew, Pechenik, and Spirkl in arXiv:2301.02177 of Stanley's chromatic symmetri…
Orbit lengths for promotion on 2-row and near-hook tableaux
Laura Pierson
Promotion has been well-studied for rectangular standard Young tableaux, in which case the orbit lengths divide the total number of boxes and are described by a cyclic sieving phen…
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 of symmetric fun…
-analogues of Hivert's divided difference operators
Laura Pierson
Several families of polynomials of combinatorial and representation theoretic interest (notably the Schur polynomials , Demazure characters , and Demazure atom…
On the chromatic symmetric homology for star graphs
Laura Pierson
The chromatic symmetric function is a power series that encodes the proper colorings of a graph by assigning a variable to each color and a monomial to each coloring such…
A power sum expansion for the Kromatic symmetric function
Laura Pierson
The chromatic symmetric function is a symmetric function generalization of the chromatic polynomial of a graph, introduced by Stanley (1995). Stanley gave an expansion formul…
Counting induced subgraphs with the Kromatic symmetric function
Laura Pierson
The chromatic symmetric function is a sum of monomials corresponding to proper vertex colorings of a graph . Crew, Pechenik, and Spirkl (2023) recently introduced a -th…