Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs
Commutative Algebra
2025-05-13 v1
Abstract
We compute the multigraded Betti numbers of edge ideals for weighted oriented crown graphs using a novel approach. This approach, which we still call the \emph{induced subgraph approach}, originates from our prior work on computing Betti numbers of normal edge rings(see \cite{WL}). Notably, we prove that the total Betti numbers of edge ideals for weighted oriented crown graphs are independent of the weight function.
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Cite
@article{arxiv.2505.06992,
title = {Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs},
author = {Zexin Wang and Dancheng Lu},
journal= {arXiv preprint arXiv:2505.06992},
year = {2025}
}
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20 pages