4 papers
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…
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…
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…
Lexicographic shellability of sects
Aram Bingham, Néstor DÃaz Morera
In this paper, we show that the Bruhat order on any sect of a symmetric variety of type is lexicographically shellable. Our proof proceeds from a description of these posets…