Minimal cellular resolutions of powers of graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917306505887744 |
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| author | Chau, Trung Hà, Tài Huy Maithani, Aryaman |
| author_facet | Chau, Trung Hà, Tài Huy Maithani, Aryaman |
| contents | Let $G$ be a connected graph and let $I(G)$ denote its edge ideal. We classify when $I(G)^n$, for $n \ge 1$, admits a minimal Lyubeznik resolution. We also give a characterization for when $I(G)^n$ is bridge-friendly, which, in turn, implies that $I(G)^n$ has a minimal Barile-Macchia cellular resolution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_04380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal cellular resolutions of powers of graphs Chau, Trung Hà, Tài Huy Maithani, Aryaman Commutative Algebra 13D02 (Primary), 13F55, 05C65, 05C75, 05E40 Let $G$ be a connected graph and let $I(G)$ denote its edge ideal. We classify when $I(G)^n$, for $n \ge 1$, admits a minimal Lyubeznik resolution. We also give a characterization for when $I(G)^n$ is bridge-friendly, which, in turn, implies that $I(G)^n$ has a minimal Barile-Macchia cellular resolution. |
| title | Minimal cellular resolutions of powers of graphs |
| topic | Commutative Algebra 13D02 (Primary), 13F55, 05C65, 05C75, 05E40 |
| url | https://arxiv.org/abs/2404.04380 |