4 citations · 15 across the 20 of their papers we have counts for
27 papers
Principal vector-spread Borel ideals
Marilena Crupi, Antonino Ficarra, Ernesto Lax
We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially…
Generalizing blocking semiovals in finite projective planes
Marilena Crupi, Antonino Ficarra
Blocking semiovals and the determination of their (minimum) sizes constitute one of the central research topics in finite projective geometry. In this article we introduce the conc…
Edge ideals whose all matching powers are bi-Cohen-Macaulay
Marilena Crupi, Antonino Ficarra
We classify all graphs satisfying the property that all matching powers of the edge ideal are bi-Cohen-Macaulay for , where is the max…
Cohen-Macaulayness of vertex splittable monomial ideals
Marilena Crupi, Antonino Ficarra
In this paper, we give a new criterion for the Cohen-Macaulayness of vertex splittable ideals, a family of monomial ideals recently introduced by Moradi and Khosh-Ahang. Our result…
Very well-covered graphs via the Rees algebra
Marilena Crupi, Antonino Ficarra
A very well-covered graph is a well-covered graph without isolated vertices such that the size of its minimal vertex covers is half of the number of vertices. If is a Cohen-Mac…
Matchings, Squarefree Powers and Betti Splittings
Marilena Crupi, Antonino Ficarra, Ernesto Lax
Let be a finite simple graph and let be its edge ideal. In this article, we deeply investigate the squarefree powers of by means of Betti splittings. When is…