This is a survey article featuring some of Wolmer Vasconcelos contributions to commutative
algebra, and explaining how Vasconcelos' work and insights have contributed to the …

In this paper, we compare the regularities of symbolic and ordinary powers of edge ideals of
weighted oriented graphs. For a weighted oriented graph $ D $, we give a lower bound for …

Let 𝒟=(V (𝒟), E (𝒟)) be a weighted oriented graph and I (𝒟) denote the corresponding edge
ideal. In this paper, we give a combinatorial characterization of I (𝒟) which has a linear …

Let D be a weighted oriented graph, whose underlying graph is G, and let I (D) be its edge
ideal. If G has no 3-, 5-, or 7-cycles, or G is Kőnig, we characterize when I (D) is unmixed. If G …

In this paper, we provide exact formulas for the regularity of powers of an almost complete
intersection ideal I which is generated by a homogeneous d-sequence. As applications …

In this paper, we explicitly give combinatorial formulas for the regularity of powers of edge
ideals, reg ( I ( D ) k ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

Projective Dimension and Regularity of Powers of Edge Ideals of Vertex-Weighted Rooted
Forests | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …

Let t be any positive integer and I (C n) the edge ideal of a vertex-weighted oriented n-cycle
graph C n. We provide explicit formulas for the regularity and depth of I (C n) t. In particular …

In this paper, we describe primary decomposition of the edge ideal of the join of some
graphs in terms of that information of the edge ideal of every weighted oriented graph …

In this article, we study monomial ideals associated with a simple graph, namely edge ideals
of weighted oriented graphs. Let D be a weighted oriented graph. Assuming that all the …