Add to ORKGIn this paper, we are going to investigate the graded Betti numbers of powers of the edge ideals of hypergraphs in terms of combinatorial invariants. This leads us to find some combinatorial bounds for regularity of powers of the edge ideals of hypergarphs.Comment: 18 page
We consider Stanley-Reisner rings k[x(1), ... , x(n)]/I(H) where I(H) is the edge ideal associated t...
This thesis compiles results in four related areas. • Jump Sequences of Edge Ideals: Given a graph G...
Let $I$ and $J$ be edge ideals in a polynomial ring $R = \mathbb{K}[x_1,\ldots,x_n]$ with $I \subset...
For a finite simple graph $G$ we give an upper bound for the regularity of the powers of the edge id...
In this paper we study the $s$-th symbolic powers of the edge ideals of complete graphs. In particul...
summary:Let $G=K_{n_1,n_2,\ldots ,n_r}$ be a complete multipartite graph on $[n]$ with $n>r>1$ and $...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
In this PhD thesis, we discuss several different results about some homological invariants (e.g., gr...
Abstract. Let G be a graph and let I = I(G) be its edge ideal. In this paper, when G is a forest or ...
Assume that $G$ is a graph with edge ideal $I(G)$ and let $I(G)^{(s)}$ denote the $s$-th symbolic po...
We prove a general result concerning the paucity of integer points on a certain family of 4-dimensio...
summary:We consider Stanley-Reisner rings $k[x_1,\ldots ,x_n]/I(\mathcal {H})$ where $I(\mathcal {H}...
Abstract. In this paper we prove that if I(G) is a bipartite edge ideal with regularity three then f...
Many important invariants of ideals in a polynomial ring can be read off from the locations of the z...
AbstractWe prove a conjectured lower bound of Nagel and Reiner on Betti numbers of edge ideals of bi...
We consider Stanley-Reisner rings k[x(1), ... , x(n)]/I(H) where I(H) is the edge ideal associated t...
This thesis compiles results in four related areas. • Jump Sequences of Edge Ideals: Given a graph G...
Let $I$ and $J$ be edge ideals in a polynomial ring $R = \mathbb{K}[x_1,\ldots,x_n]$ with $I \subset...
For a finite simple graph $G$ we give an upper bound for the regularity of the powers of the edge id...
In this paper we study the $s$-th symbolic powers of the edge ideals of complete graphs. In particul...
summary:Let $G=K_{n_1,n_2,\ldots ,n_r}$ be a complete multipartite graph on $[n]$ with $n>r>1$ and $...
In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We ...
In this PhD thesis, we discuss several different results about some homological invariants (e.g., gr...
Abstract. Let G be a graph and let I = I(G) be its edge ideal. In this paper, when G is a forest or ...
Assume that $G$ is a graph with edge ideal $I(G)$ and let $I(G)^{(s)}$ denote the $s$-th symbolic po...
We prove a general result concerning the paucity of integer points on a certain family of 4-dimensio...
summary:We consider Stanley-Reisner rings $k[x_1,\ldots ,x_n]/I(\mathcal {H})$ where $I(\mathcal {H}...
Abstract. In this paper we prove that if I(G) is a bipartite edge ideal with regularity three then f...
Many important invariants of ideals in a polynomial ring can be read off from the locations of the z...
AbstractWe prove a conjectured lower bound of Nagel and Reiner on Betti numbers of edge ideals of bi...
We consider Stanley-Reisner rings k[x(1), ... , x(n)]/I(H) where I(H) is the edge ideal associated t...
This thesis compiles results in four related areas. • Jump Sequences of Edge Ideals: Given a graph G...
Let $I$ and $J$ be edge ideals in a polynomial ring $R = \mathbb{K}[x_1,\ldots,x_n]$ with $I \subset...