Add to ORKGThis thesis studies properties of edge toric ideals and resolutions by analyzing the associated graphs of algebraic structures. It mainly focused on proving that the repeated edges in a graph wouldn't change some properties of its underlying algebraic structure. An application of this result is that when we study multi-edge graphs, we can simplify in nite numbers of graphs to a simple one by deleting all the repeated edges.Senior Thesi
In this talk we present some selected known results and new questions on edge ideals and their power...
We study the family of graphs whose number of primitive cycles equals its cycle rank. It is shown th...
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...
Given a simple graph G, the corresponding edge ideal IG is the ideal generated by the edges of G. In...
Abstract. The edges of any hypergraph parametrize a monomial algebra called the edge subring of the ...
Abstract. Associated to any hypergraph is a toric ideal encoding the algebraic relations among its e...
Let G = (V, E) be a graph and d a positive integer. We study the following problem: for which labeli...
AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity...
AbstractGiven a simple graph G on n vertices, we prove that it is possible to reconstruct several al...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
Abstract. In combinatorial commutative algebra and algebraic statistics many toric ideals are constr...
AbstractLet G=(V,E) be a graph and d a positive integer. We study the following problem: for which l...
In this talk we will present some of the results of this paper and introduce some related recent wor...
Toric ideals are binomial ideals which represent the algebraic relations of sets of power products. ...
It is shown in this paper how a solution for a combinatorial problem obtained from applying the gree...
In this talk we present some selected known results and new questions on edge ideals and their power...
We study the family of graphs whose number of primitive cycles equals its cycle rank. It is shown th...
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...
Given a simple graph G, the corresponding edge ideal IG is the ideal generated by the edges of G. In...
Abstract. The edges of any hypergraph parametrize a monomial algebra called the edge subring of the ...
Abstract. Associated to any hypergraph is a toric ideal encoding the algebraic relations among its e...
Let G = (V, E) be a graph and d a positive integer. We study the following problem: for which labeli...
AbstractIn this paper, we introduce some reduction processes on graphs which preserve the regularity...
AbstractGiven a simple graph G on n vertices, we prove that it is possible to reconstruct several al...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
Abstract. In combinatorial commutative algebra and algebraic statistics many toric ideals are constr...
AbstractLet G=(V,E) be a graph and d a positive integer. We study the following problem: for which l...
In this talk we will present some of the results of this paper and introduce some related recent wor...
Toric ideals are binomial ideals which represent the algebraic relations of sets of power products. ...
It is shown in this paper how a solution for a combinatorial problem obtained from applying the gree...
In this talk we present some selected known results and new questions on edge ideals and their power...
We study the family of graphs whose number of primitive cycles equals its cycle rank. It is shown th...
My PhD is about syzygies of toric varieties and curves on toric surfaces. Toric geometry is a part o...