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arXiv · 2505.06992

Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs

Zexin Wang·Dancheng Lu
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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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Zexin Wang, Dancheng Lu. 2025-05-11. Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs. https://arxiv.org/abs/2505.06992

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