Monomial ideals whose all matching powers are Cohen-Macaulay
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909590663200768 |
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| author | Ficarra, Antonino Moradi, Somayeh |
| author_facet | Ficarra, Antonino Moradi, Somayeh |
| contents | In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of the last matching power of an edge ideal is characterized, providing an algebraic analogue of the famous Tutte theorem regarding graphs having a perfect matching. For chordal graphs, very well-covered graphs and Cameron-Walker graphs, we completely solve our problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01666 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monomial ideals whose all matching powers are Cohen-Macaulay Ficarra, Antonino Moradi, Somayeh Commutative Algebra Combinatorics In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of the last matching power of an edge ideal is characterized, providing an algebraic analogue of the famous Tutte theorem regarding graphs having a perfect matching. For chordal graphs, very well-covered graphs and Cameron-Walker graphs, we completely solve our problem. |
| title | Monomial ideals whose all matching powers are Cohen-Macaulay |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2410.01666 |