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arXiv · 2504.09703

Homological invariants of edge ideals of weighted oriented graphs

Trung Chau·Richie Sheng·Deborah Wooton
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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.

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Trung Chau, Richie Sheng, Deborah Wooton. 2025-04-13. Homological invariants of edge ideals of weighted oriented graphs. https://arxiv.org/abs/2504.09703

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