3 papers
math.CO2026
Homology of Vietoris-Rips complexes of hypercube graphs via group actions
Federico Galetto, Jonathan Montaño, Zoe Wellner
The Vietoris-Rips complex of a metric space is the simplicial complex whose faces are the subsets of points with pairwise distance bounded above by a given scale . In this paper…
math.AC2024
Jets and principal components of monomial ideals, and very well-covered graphs
Federico Galetto, Nicholas Iammarino, Teresa Yu
Motivated by using combinatorics to study jets of monomial ideals, we extend a definition of jets from graphs to clutters. We offer some structural results on their vertex covers,…
math.AC2024
Betti numbers for connected sums of graded Gorenstein artinian algebras
Nasrin Altafi, Roberta Di Gennaro, Federico Galetto +5
The connected sum construction, which takes as input Gorenstein rings and produces new Gorenstein rings, can be considered as an algebraic analogue for the topological construction…