Giancarlo Rinaldo

Construction of Cohen–Macaulay Binomial Edge Ideals

We discuss algebraic and homological properties of binomial edge ideals associated with the graphs which are obtained by gluing of subgraphs and the formation of cones.

Cohen-Macaulay edge ideal whose height is half of the number of vertices

We consider a class of graphs

On the second powers of Stanley-Reisner ideals

G

Arithmetical Rank of Squarefree Monomial Ideals Generated by Five Elements or with Arithmetic Degree Four

such that the height of the edge ideal

Closed graphs are proper interval graphs

I(G)

Effective Cowsik–Nori Theorem for Edge Ideals

is half of the number

Koszulness of Vertex Cover Algebras of Bipartite Graphs

sharp V(G)

Vertex decomposability and regularity of very well-covered graphs

of the vertices. We give Cohen-Macaulay criteria for such graphs.

Cohen–Macaulayness for symbolic power ideals of edge ideals

In this paper, we study several properties of the second power

Binomial edge ideals with quadratic Grobner bases

I_{Delta}^2