From the 2 of 7 linked papers with an AI index.
4 papers · 1 filter
Asymptotic Resurgence of Facet ideals of Graphic Matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar
The paper establishes upper and lower bounds for the asymptotic resurgence of facet ideals of graphic matroids, showing they coincide for Hamiltonian graphs and confirming the boun…
Asymptotic Resurgence of Facet and Stanley-Reisner ideals of Matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar
Matroid configurations -- introduced by Geramita, Harbourne, Migliore, and Nagel -- are projective varieties which generalize so-called \textit{star configurations} and whose defin…
Matroid correspondence
Colin Crowley, Changxin Ding, Haoxi Hu +7
The paper introduces matroid correspondences, a functorial framework linking matroids and polymatroids, and shows how standard matroid operations arise from it while preserving rep…
Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar +1
It is well-known that the first generalized Hamming weight of a linear code, more commonly called \textit{the minimum distance} of the linear code, corresponds to the initial degre…