Homological invariants of edge ideals of weighted oriented graphs
arXiv:2504.09703
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.
are welcome!!! 19 pages. Minor revisions