7 citations · 16 across the 9 of their papers we have counts for
17 papers
A combinatorial characterization of binomial edge ideals
Davide Bolognini, Antonio Macchia, Giancarlo Rinaldo +1
Several algebraic properties of a binomial edge ideal can be interpreted in terms of combinatorial properties of its associated graph . In particular, the so-called cut se…
Cohen-Macaulay binomial edge ideals of small graphs
Davide Bolognini, Antonio Macchia, Giancarlo Rinaldo +1
A combinatorial property that characterizes Cohen-Macaulay binomial edge ideals has long been elusive. A recent conjecture ties the Cohen-Macaulayness of a binomial edge ideal $J_G…
Linear extensions and shelling orders
Davide Bolognini, Paolo Sentinelli
We prove that linear extensions of the Bruhat order of a matroid are shelling orders and that the barycentric subdivision of a matroid is a Coxeter matroid, viewing barycentric sub…
Immanant varieties
Davide Bolognini, Paolo Sentinelli
We introduce immanant varieties, associated to simple characters of a finite group. They include well-studied classes of varieties, as Segre embeddings, Grassmannians and certain o…
Powers of monomial ideals with characteristic-dependent Betti numbers
Davide Bolognini, Antonio Macchia, Francesco Strazzanti +1
We explore the dependence of the Betti numbers of monomial ideals on the characteristic of the field. A first observation is that for a fixed prime either the -th Betti numb…
Cohen-Macaulay binomial edge ideals and accessible graphs
Davide Bolognini, Antonio Macchia, Francesco Strazzanti
The cut sets of a graph are special sets of vertices whose removal disconnects the graph. They are fundamental in the study of binomial edge ideals, since they encode their minimal…