2 papers
math.AC2021
Knutson ideals of generic matrices
Lisa Seccia
In this paper we show that determinantal ideals of generic matrices are Knutson ideals. This fact leads to a useful result about Gröbner bases of certain sums of determinantal idea…
math.CO2021
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals
Bruno Benedetti, Lisa Seccia, Matteo Varbaro
We study d-dimensional generalizations of three mutually related topics in graph theory: Hamiltonian paths, (unit) interval graphs, and binomial edge ideals. We provide partial hig…