Add to ORKGFor path ideals of the square of the line graph we compute the Krull dimension, we characterize the linear resolution property in combinatorial terms. We bound the Castelnuovo-Mumford regularity and the projective dimension in terms of the corresponding invariants of two sub-hypergraph. We present some open questions
Abstract. We consider path ideals associated to special classes of posets such as tree posets and cy...
We show that the virtual cohomological dimension of a Coxeter group is essentially the regularity of...
AbstractWe study the topology of the lcm-lattice of edge ideals and derive upper bounds on the Caste...
For path ideals of the square of the line graph we compute the Krull dimension, we characterize the ...
We describe all the trees with the property that the corresponding edge ideal of the square of the t...
For a rooted tree $\Gamma$, we consider path ideals of $\Gamma$, which are ideals that are generated...
AbstractLet Γ be a rooted (and directed) tree, and let t be a positive integer. The path ideal It(Γ)...
AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity...
Our aim in this thesis is to compute certain algebraic invariants like primary decomposition, dimens...
Let S be a polynomial algebra over a field. If I is the edge ideal of a perfect semiregular tree, th...
The algebra of basic covers of a graph G, denoted by A¯(G), was introduced by Herzog as a suitable q...
In this dissertation, we study numerical invariants of minimal graded free resolu-tions of homogeneo...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
In this thesis, we study square-free monomial ideals of the polynomial ring S which have a linear re...
AbstractWe study the minimal free resolution of a quadratic monomial ideal in the case where the res...
Abstract. We consider path ideals associated to special classes of posets such as tree posets and cy...
We show that the virtual cohomological dimension of a Coxeter group is essentially the regularity of...
AbstractWe study the topology of the lcm-lattice of edge ideals and derive upper bounds on the Caste...
For path ideals of the square of the line graph we compute the Krull dimension, we characterize the ...
We describe all the trees with the property that the corresponding edge ideal of the square of the t...
For a rooted tree $\Gamma$, we consider path ideals of $\Gamma$, which are ideals that are generated...
AbstractLet Γ be a rooted (and directed) tree, and let t be a positive integer. The path ideal It(Γ)...
AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity...
Our aim in this thesis is to compute certain algebraic invariants like primary decomposition, dimens...
Let S be a polynomial algebra over a field. If I is the edge ideal of a perfect semiregular tree, th...
The algebra of basic covers of a graph G, denoted by A¯(G), was introduced by Herzog as a suitable q...
In this dissertation, we study numerical invariants of minimal graded free resolu-tions of homogeneo...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
In this thesis, we study square-free monomial ideals of the polynomial ring S which have a linear re...
AbstractWe study the minimal free resolution of a quadratic monomial ideal in the case where the res...
Abstract. We consider path ideals associated to special classes of posets such as tree posets and cy...
We show that the virtual cohomological dimension of a Coxeter group is essentially the regularity of...
AbstractWe study the topology of the lcm-lattice of edge ideals and derive upper bounds on the Caste...