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 …

In this paper, we provide some precise formulas for regularity of powers of edge ideal of the
disjoint union of some weighted oriented gap-free bipartite graphs. For the projective …

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} …

We provide some exact formulas for the projective dimension and regularity of edge ideals
associated to some vertex-weighted oriented cyclic graphs with a common vertex or edge …

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 …

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 study the componentwise linearity of edge ideals of weighted oriented
graphs. We show that if $ D $ is a weighted oriented graph whose edge ideal $ I (D) $ is …

In this paper we provide some exact formulas for the regularity of powers of edge ideals of
vertex-weighted oriented cycles and vertex-weighted unicyclic graphs. These formulas are …

In this paper we provide some exact formulas for the projective dimension and the regularity
of edge ideals associated to three special types of vertex-weighted oriented $ m $-partite …