3 papers
math.CO2026
A Schur-positivity classification for complete multipartite graphs
Ethan Shelburne, Stephanie van Willigenburg
A graph is Schur-positive if its chromatic symmetric function expands non-negatively in the Schur basis. We determine a full Schur-positivity classification for complete multiparti…
math.CO2025
Chromatic quasisymmetric functions of the path graph
Farid Aliniaeifard, Shamil Asgarli, Maria Esipova +3
We show that the chromatic quasisymmetric function (CQF) of a labeled path graph on vertices is not symmetric unless the labeling is the natural labeling or its…
math.CO2024
Schur-positivity for generalized nets
Ethan Shelburne, Stephanie van Willigenburg
A graph is Schur-positive if its chromatic symmetric function expands nonnegatively in the Schur basis. All claw-free graphs are conjectured to be Schur-positive. We introduce a co…