10 citations · 39 across the 19 of their papers we have counts for
22 papers
Sequentially Cohen-Macaulay binomial edge ideals of closed graphs
Viviana Ene, Giancarlo Rinaldo, Naoki Terai
In this paper we provide a full combinatorial characterization of sequentially Cohen-Macaulay binomial edge ideals of closed graphs. In addition, we show that a binomial edge ideal…
Powers of binomial edge ideals with quadratic Gröbner bases
Viviana Ene, Giancarlo Rinaldo, Naoki Terai
We study powers of binomial edge ideals associated with closed and block graphs.
Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs
Seyed Amin Seyed Fakhari, Kosuke Shibata, Naoki Terai +1
We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macau…
Licci binomial edge ideals
Viviana Ene, Giancarlo Rinaldo, Naoki Terai
We give a complete characterization of graphs whose binomial edge ideal is licci. An important tool is a new general upper bound for the regularity of binomial edge ideals.
Depth and regularity modulo a principal ideal
Giulio Caviglia, Huy Tai Ha, Jürgen Herzog +3
We study the relationship between depth and regularity of a homogeneous ideal I and those of (I,f) and I:f, where f is a linear form or a monomial. Our results has several interest…
On the associated primes and the depth of the second power of squarefree monomial ideals
Naoki Terai, Ngo Viet Trung
We present combinatorial characterizations for the associated primes of the second power of squarefree monomial ideals and criteria for this power to have positive depth or depth g…