12 citations · 21 across the 7 of their papers we have counts for
9 papers
On homological invariants and Cohen-Macaulayness of closed neighborhood ideals
Somayeh Moradi, Leila Sharifan
Let be a finite simple graph and be the closed neighborhood ideal of in the polynomial ring . In this paper, we study the Castelnuovo-Mumford regularity,…
Closed neighborhood ideal of a graph
Leila Sharifan, Somayeh Moradi
We introduce a family of squarefree monomial ideals associated to finite simple graphs, whose monomial generators correspond to closed neighborhood of vertices of the underlying gr…
On -Closed Graphs
Leila Sharifan, Masoumeh Javanbakht
A graph is closed when its vertices have a labeling by such that the binomial edge ideal has a quadratic Gröbner basis with respect to the lexicographic order induced b…
Minimal free resolution of monoimal ideals by iterated mapping cone
Leila Sharifan
In this paper we study minimal free resolutions of some classes of monomial ideals. we first give a sufficient condition to check the minimality of the resolution obtained by the m…
An intriguing ring structure on the set of d-forms
Jürgen Herzog, Leila Sharifan, Matteo Varbaro
The purpose of this note is to introduce a multiplication on the set of homogeneous polynomials of fixed degree d, in a way to provide a duality theory between monomial ideals of K…
The possible extremal Betti numbers of a homogeneous ideal
Jürgen Herzog, Leila Sharifan, Matteo Varbaro
We give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of any homogeneous ideal in a polynomial ring over a field.