M. Crupi

activity

20092016

collaborators

4 papers

math.AC2016

Extremal Betti numbers of graded modules

Marilena Crupi

Let $S$ be a polynomial ring in $n$ variables over a field $K$ of characteristic $0$ . A numerical characterization of all possible extremal Betti numbers of any graded submodule of…

math.AC2016

Bounding Betti numbers of monomial ideals in the exterior algebra

Marilena Crupi, Carmela Ferro'

Let $K$ be a field, $V$ a $K$ -vector space with basis $e_{1}, \dots, e_{n}$ , and $E$ the exterior algebra of $V$ . To a given monomial ideal $I ⊊ E$ we associate a special monomi…

math.CO2012

Closed graphs are proper interval graphs

Marilena Crupi, Giancarlo Rinaldo

In this note we prove that every closed graph $G$ is up to isomorphism a proper interval graph. As a consequence we obtain that there exist linear-time algorithms for closed graph…

math.AC2009

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

Marilena Crupi, Giancarlo Rinaldo, Naoki Terai

We consider a class of graphs $G$ such that the height of the edge ideal $I (G)$ is half of the number $♯ V (G)$ of the vertices. We give Cohen-Macaulay criteria for such graphs…