Algebraic study on permutation graphs
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929734191939584 |
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| author | Ficarra, Antonino Moradi, Somayeh |
| author_facet | Ficarra, Antonino Moradi, Somayeh |
| contents | Let $G$ be a permutation graph. We show that $G$ is Cohen-Macaulay if and only if $G$ is unmixed and vertex decomposable. When this is the case, we obtain a combinatorial description for the $a$-invariant of $G$. Moreover, we characterize the Gorenstein permutation graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic study on permutation graphs Ficarra, Antonino Moradi, Somayeh Commutative Algebra Combinatorics Let $G$ be a permutation graph. We show that $G$ is Cohen-Macaulay if and only if $G$ is unmixed and vertex decomposable. When this is the case, we obtain a combinatorial description for the $a$-invariant of $G$. Moreover, we characterize the Gorenstein permutation graphs. |
| title | Algebraic study on permutation graphs |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2502.19992 |