M. Crupi

collaborators

3 papers

math.AC2025

Edge ideals whose all matching powers are bi-Cohen-Macaulay

Marilena Crupi, Antonino Ficarra

We classify all graphs $G$ satisfying the property that all matching powers $I (G)^{[k]}$ of the edge ideal $I (G)$ are bi-Cohen-Macaulay for $1 \leq k \leq I^½ (G)$ , where $I^½ (G)$ is the m…

math.AC2025

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…

math.CO2025

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…