Edge ideals whose all matching powers are bi-Cohen-Macaulay
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918110970249216 |
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| author | Crupi, Marilena Ficarra, Antonino |
| author_facet | Crupi, Marilena Ficarra, Antonino |
| contents | We classify all graphs $G$ satisfying the property that all matching powers $I(G)^{[k]}$ of the edge ideal $I(G)$ are bi-Cohen-Macaulay for $1\le k\leν(G)$, where $ν(G)$ is the maximum size of a matching of $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08521 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Edge ideals whose all matching powers are bi-Cohen-Macaulay Crupi, Marilena Ficarra, Antonino Commutative Algebra Combinatorics We classify all graphs $G$ satisfying the property that all matching powers $I(G)^{[k]}$ of the edge ideal $I(G)$ are bi-Cohen-Macaulay for $1\le k\leν(G)$, where $ν(G)$ is the maximum size of a matching of $G$. |
| title | Edge ideals whose all matching powers are bi-Cohen-Macaulay |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2503.08521 |