Nursel Erey

collaborators

2 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 $I^½_{1} (G) = p$ and $I^½ (G) = q$ for which the squarefree power $I (G)^{[k]}$ of the edge ideal $I(…