15 citations · 71 across the 27 of their papers we have counts for
33 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.
On the symbolic powers of binomial edge ideals
Viviana Ene, Jürgen Herzog
We show that under some conditions, if the initial ideal in of an ideal in a polynomial ring has the property that its symbolic and ordinary powers coincide, then the id…
Regularity and Gorenstein property of the -convex Polyominoes
Viviana Ene, Jürgen Herzog, Ayesha Asloob Qureshi +1
We study the coordinate ring of an -convex polyomino, determine its regularity in terms of the maximal number of rooks that can be placed in the polyomino. We also characterize…
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.
Compatible algebras with straightening laws on distributive lattices
Daniel Banaru, Viviana Ene
We characterize the finite distributive lattices on which there exists a unique compatible algebra with straightening laws.