Beth Anne Castellano

activity

20212025

collaborators

3 papers

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…

math.AC2023

Down-left graphs and a connection to toric ideals of graphs

Jennifer Biermann, Beth Anne Castellano, Marcella Manivel +2

We introduce a family of graphs, which we call down-left graphs, and study their combinatorial and algebraic properties. We show that members of this family are well-covered, $C_{5}$ …

math.CO2021

Permutations of point sets in $R^{d}$

Alvaro Carbonero, Beth Anne Castellano, Gary Gordon +3

Given a set $S$ consisting of $n$ points in $R^{d}$ and one or two vantage points, we study the number of orderings of $S$ induced by measuring the distance (for one vantage…

Kohnert posets and polynomials of northeast diagrams

Down-left graphs and a connection to toric ideals of graphs

Permutations of point sets in Rd

Permutations of point sets in $R^{d}$