AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity of related edge ideals. Using these, an alternative proof for the theorem of R. Fröberg on the linearity of the resolutions of edge ideals is given
This thesis studies properties of edge toric ideals and resolutions by analyzing the associated grap...
In this paper we study some geometric properties of the algebraic set associated to the binomial edg...
Given a simple graph G, the corresponding edge ideal IG is the ideal generated by the edges of G. In...
AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
Abstract. Let G be a graph and let I = I(G) be its edge ideal. In this paper, when G is a forest or ...
For a finite simple graph $G$ we give an upper bound for the regularity of the powers of the edge id...
In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gr...
For given positive integers $n\geq d$, a $d$-uniform clutter on a vertex set $[n]=\{1,\dots,n\}$ is ...
AbstractWe study the minimal free resolution of a quadratic monomial ideal in the case where the res...
AbstractWe study the topology of the lcm-lattice of edge ideals and derive upper bounds on the Caste...
Our aim in this thesis is to compute certain algebraic invariants like primary decomposition, dimens...
Abstract. In this paper we prove that if I(G) is a bipartite edge ideal with regularity three then f...
Let $I(G)$ be the edge ideal of a simple graph $G$. We prove that $I(G)^2$ has a linear free resolut...
Assume that $G$ is a graph with edge ideal $I(G)$ and let $I(G)^{(s)}$ denote the $s$-th symbolic po...
This thesis studies properties of edge toric ideals and resolutions by analyzing the associated grap...
In this paper we study some geometric properties of the algebraic set associated to the binomial edg...
Given a simple graph G, the corresponding edge ideal IG is the ideal generated by the edges of G. In...
AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
Abstract. Let G be a graph and let I = I(G) be its edge ideal. In this paper, when G is a forest or ...
For a finite simple graph $G$ we give an upper bound for the regularity of the powers of the edge id...
In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gr...
For given positive integers $n\geq d$, a $d$-uniform clutter on a vertex set $[n]=\{1,\dots,n\}$ is ...
AbstractWe study the minimal free resolution of a quadratic monomial ideal in the case where the res...
AbstractWe study the topology of the lcm-lattice of edge ideals and derive upper bounds on the Caste...
Our aim in this thesis is to compute certain algebraic invariants like primary decomposition, dimens...
Abstract. In this paper we prove that if I(G) is a bipartite edge ideal with regularity three then f...
Let $I(G)$ be the edge ideal of a simple graph $G$. We prove that $I(G)^2$ has a linear free resolut...
Assume that $G$ is a graph with edge ideal $I(G)$ and let $I(G)^{(s)}$ denote the $s$-th symbolic po...
This thesis studies properties of edge toric ideals and resolutions by analyzing the associated grap...
In this paper we study some geometric properties of the algebraic set associated to the binomial edg...
Given a simple graph G, the corresponding edge ideal IG is the ideal generated by the edges of G. In...
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