S. S. Seyed Fakhari

activity

20122022

collaborators

7 papers

math.AC2022

On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals

S. A. Seyed Fakhari

Assume that $G$ is a graph with edge ideal $I (G)$ and matching number $match (G)$ . For every integer $s \geq 1$ , we denote the $s$ -th squarefree power of $I (G)$ by $I (G)^{[s]}$ …

math.AC2015

On the Stanley depth of powers of edge 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 $K$ . Let $G$ be a graph with $n$ vertices. Assume that $I = I (G)$ …

math.AC2014

On the Stanley depth of squarefree 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 the field $K$ . Suppose that $C$ is a chordal clutter w…

math.AC2014

Stanley depth of weakly polymatroidal 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 the field $K$ . In this paper, it is shown that Stanley's conject…

math.AC2013

A new construction for Cohen-Macaulay graphs

Amir Mousivand, Seyed Amin Seyed Fakhari, Siamak Yassemi

Let $G$ be a finite simple graph on a vertex set $V (G) = {x_{11}, \dots, x_{n 1}}$ . Also let $m_{1}, \dots, m_{n} \geq 2$ be integers and $G_{1}, \dots, G_{n}$ be connected simple graphs…

math.AC2013

Free resolution of powers of monomial ideals and Golod rings

Nasrin Altafi, Navid Nemati, S. A. Seyed Fakhari +1

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ . In this paper we present a criterion for componentwise linearity of powers of monomial ideal…