Homological invariants of edge ideals of weighted oriented graphs
Published: Apr 13, 2025
Last Updated: Apr 16, 2025
Authors:Trung Chau, Richie Sheng, Deborah Wooton
Abstract
We determine all possible triples of depth, dimension, and regularity of edge ideals of weighted oriented graphs with a fixed number of vertices. Also, we compute all the possible Betti table sizes of edge ideals of weighted oriented trees and bipartite~graphs with a fixed number of vertices.