S. Fakhari

activity

20122024

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

8 citations · 17 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

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…

math.AC2019★ 1 cited

Regularity of symbolic powers of edge ideals of unicyclic graphs

S. A. Seyed Fakhari

Let $G$ be a unicyclic graph with edge ideal $I (G)$ . For any integer $s \geq 1$ , we denote the $s$ -th symbolic power of $I (G)$ by $I (G)^{(s)}$ . It is shown that ${\rm reg}(I(G)^{(s)…