Nursel Erey

activity

20212026

collaborators

4 papers

math.AC2026

Characterization of Some Graphs Realizing Regularity Bounds for Binomial Edge Ideals

Nursel Erey, Muhammed Ergen, Takayuki Hibi

In this paper, we characterize all graphs $G$ satisfying \[\operatorname{reg}(S/J_G)=\ell(G)=c(G)\] where $ℓ (G)$ is the sum of the lengths of the longest induced paths in each c…

math.AC2025

Density of linearity index in the interval of matching numbers

Nursel Erey, Takayuki Hibi

Given integers $2 \leq p \leq c \leq q$ , we construct a finite simple graph $G$ with $ν_{1} (G) = p$ and $ν (G) = q$ for which the squarefree power $I (G)^{[k]}$ of the edge ideal $I(G)…

math.AC2022

The normalized depth function of squarefree powers

Nursel Erey, Jürgen Herzog, Takayuki Hibi +1

The depth of squarefree powers of a squarefree monomial ideal is introduced. Let $I$ be a squarefree monomial ideal of the polynomial ring $S = K [x_{1}, \dots, x_{n}]$ . The $k$ -th squaref…

math.AC2021

Rooted order on minimal generators of powers of some cover ideals

Nursel Erey

We define a total order, which we call rooted order, on minimal generating set of $J (P_{n})^{s}$ where $J (P_{n})$ is the cover ideal of a path graph on $n$ vertices. We show that each po…