3 papers
math.CO2026
Unicyclic Graphs of Arbitrary Girth with the Same Chromatic Symmetric Function
Aram Bingham
An open question asks whether the chromatic symmetric function (CSF) of a graph distinguishes non-isomorphic trees. While it is known that the CSF does not distinguish unicyclic gr…
math.CO2025
The Chromatic Symmetric Function for Unicyclic Graphs
Aram Bingham, Lisa Johnston, Colin Lawson +3
Motivated by the question of which structural properties of a graph can be recovered from the chromatic symmetric function (CSF), we study the CSF of connected unicyclic graphs. Wh…
math.CO2025
Kohnert posets and polynomials of northeast diagrams
Aram Bingham, Beth Anne Castellano, Kimberly P. Hadaway +4
Kohnert polynomials and their associated posets are combinatorial objects with deep geometric and representation theoretic connections, generalizing both Schubert polynomials and t…