25 citations · 69 across the 14 of their papers we have counts for
17 papers
Edge ideals of gapfree graphs with matching number
Nursel Erey, Tài Huy Hà, Takayuki Hibi +2
We prove that if is a gapfree graph with matching number , then every power , , of its edge ideal has linear quotients, and hence a linear resolution. Our ap…
Computation of dominant ideals
Anna Maria Bigatti, Nursel Erey, Selvi Kara +4
We consider the problem of determining whether a monomial ideal is dominant. This property is critical for determining for which monomial ideals the Taylor resolution is minimal. W…
The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs
Trung Chau, Nursel Erey, Aryaman Maithani
Every monomial ideal has a Scarf complex, which is a subcomplex of its minimal free resolution. We say that is Scarf if its Scarf complex is also its minimal free resolutio…
Gapfree graphs and powers of edge ideals with linear quotients
Nursel Erey, Sara Faridi, Tài Huy Hà +3
Let be the edge ideal of a gapfree graph . An open conjecture of Nevo and Peeva states that has linear resolution for . We present a promising approach t…
Forests whose matching powers are linear
Nursel Erey, Antonino Ficarra
In this note, we classify all the weighted oriented forests whose edge ideals have the property that one of their matching powers has linear resolution.
Matching powers of monomial ideals and edge ideals of weighted oriented graphs
Nursel Erey, Antonino Ficarra
We introduce the concept of matching powers of monomial ideals. Let be a monomial ideal of , with a field. The th matching power of is the monomi…
Squarefree powers of edge ideals of forests
Nursel Erey, Takayuki Hibi
Let denote the th squarefree power of the edge ideal of . When is a forest, we provide a sharp upper bound for the regularity of in terms of the…
The size of Betti tables of edge ideals arising from bipartite graphs
Nursel Erey, Takayuki Hibi
Let and respectively denote the projective dimension and the regularity of the edge ideal of a graph . For any positi…
Second powers of cover ideals of paths
Nursel Erey, Ayesha Asloob Qureshi
We show that the second power of the cover ideal of a path graph has linear quotients. To prove our result we construct a recursively defined order on the generators of the ideal w…
Matchings and squarefree powers of edge ideals
Nursel Erey, Jürgen Herzog, Takayuki Hibi +1
Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, a…
On the cover ideals of chordal graphs
Nursel Erey
The independence complex of a chordal graph is known to be shellable due to a result of Van Tuyl and Villarreal. This is equivalent to the fact that cover ideal of a chordal graph…
Powers of Ideals Associated to -free Graphs
Nursel Erey
Let be a -free graph with edge ideal . We show that has linear resolution for every . Also, we show that ever…
Powers of Edge Ideals with Linear Resolutions
Nursel Erey
We show that if is a gap-free and diamond-free graph, then has a linear minimal free resolution for every .
Betti numbers of monomial ideals via facet covers
Nursel Erey, Sara Faridi
We give a sufficient condition for a monomial ideal to have a nonzero Betti number in each multidegree. In the case of facet ideals of simplicial forests, this condition becomes a…
Multigraded Betti numbers of some path ideals
Nursel Erey
We determine (multi)graded Betti numbers of path ideals of lines and star graphs.
Bouquets, vertex covers and edge ideals
Nursel Erey
We give a new combinatorial characterization of the big height of a squarefree monomial ideal leading to a new bound for the projective dimension of a monomial ideal.
Multigraded Betti numbers of simplicial forests
Nursel Erey, Sara Faridi
We prove that multigraded Betti numbers of a simplicial forest are always either 0 or 1. Moreover a nonzero multidegree appears exactly at one homological degree in the resolution.…