Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910937852674048 |
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| author | Wang, Zexin Lu, Dancheng |
| author_facet | Wang, Zexin Lu, Dancheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs Wang, Zexin Lu, Dancheng Commutative Algebra 13A02, 13D40 (Primary) 05E40 (Secondary) 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. |
| title | Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs |
| topic | Commutative Algebra 13A02, 13D40 (Primary) 05E40 (Secondary) |
| url | https://arxiv.org/abs/2505.06992 |