S. Fakhari

activity

20122022

most citedRegularity of Powers of edge ideal of very well-covered graphs

8 citations · 17 across the 11 of their papers we have counts for

collaborators

20 papers

math.AC2022

Lower bounds for the depth of second power of edge ideals

S. A. Seyed Fakhari

Assume that $G$ is a graph with edge ideal $I (G)$ . We provide sharp lower bounds for the depth of $I (G)^{2}$ in terms of the star packing number of $G$ .

math.AC2020

On the minimal free resolution of symbolic powers of cover ideals of graphs

S. A. Seyed Fakhari

For any graph $G$ , assume that $J (G)$ is the cover ideal of $G$ . Let $J (G)^{(k)}$ denote the $k$ th symbolic power of $J (G)$ . We characterize all graphs $G$ with the property that $…

math.AC2020★ 3 cited

On the depth of symbolic powers of edge ideals of graphs

S. A. Seyed Fakhari

Assume that $G$ is a graph with edge ideal $I (G)$ and star packing number $α_{2} (G)$ . We denote the $s$ -th symbolic power of $I (G)$ by $I (G)^{(s)}$ . It is shown that the inequality $…

math.AC2019

On the regularity of small symbolic powers of edge ideals of graphs

S. A. Seyed Fakhari

Assume that $G$ is a graph with edge ideal $I (G)$ and let $I (G)^{(s)}$ denote the $s$ -th symbolic power of $I (G)$ . It is proved that for every integer $s \geq 1$ , $${\rm reg}(I(G)^{…

math.AC2019★ 3 cited

Regularity of symbolic powers of edge ideals of Cameron-Walker graphs

S. A. Seyed Fakhari

A Cameron-Walker graph is a graph for which the matching number and the induced matching number are the same. Assume that $G$ is a Cameron-Walker graph with edge ideal $I (G)$ , and…

math.AC2019

On the Stanley depth of powers of monomial ideals

S. A. Seyed Fakhari

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over $K$ . In 1982, R. Stanley associated a combinatorial invariant to…