10 citations · 10 across the 4 of their papers we have counts for
7 papers · 1 filter
-condition and Cohen-Macaulay binomial edge ideals
Alberto Lerda, Carla Mascia, Giancarlo Rinaldo +1
We describe the simplicial complex such that the initial ideal of is the Stanley-Reisner ideal of . By we show that if is then is accessible. We…
Primality of polyomino ideals by quadratic Gröbner basis
Carla Mascia, Giancarlo Rinaldo, Francesco Romeo
In this work, we provide a necessary and sufficient condition on a polyomino ideal for having the set of inner 2-minors as degree reverse lexicographic Gröbner basis, due to combin…
Primality of multiply connected polyominoes
Carla Mascia, Giancarlo Rinaldo, Francesco Romeo
It is known that the polyomino ideal of simple polyominoes is prime. In this paper, we focus on multiply connected polyominoes, namely polyominoes with holes, and observe that the…
Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals
Carla Mascia, Giancarlo Rinaldo
We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones, and we show the extremal Betti numbers of some classes of Cohen-Macaulay bino…
Krull dimension and regularity of binomial edge ideals of block graphs
Carla Mascia, Giancarlo Rinaldo
We give a lower bound for the Castelnuovo-Mumford regularity of binomial edge ideals of block graphs by computing the two distinguished extremal Betti numbers of a new family of bl…
A partial characterization of Hilbert quasi-polynomials in the non-standard case
Massimo Caboara, Carla Mascia
The Hilbert function, its generating function and the Hilbert polynomial of a graded ring R have been extensively studied since the famous paper of Hilbert: Ueber die Theorie der a…
Hilbert quasi-polynomial for order domains and application to coding theory
Carla Mascia, Giancarlo Rinaldo, Massimiliano Sala
We present an application of Hilbert quasi-polynomials to order domains, allowing the effective check of the second order-domain condition in a direct way. We also provide an impro…