Computing all minimal Markov bases in Macaulay2
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912247836573696 |
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| author | Clarke, Oliver Milner, Alexander |
| author_facet | Clarke, Oliver Milner, Alexander |
| contents | We introduce the package allMarkovBases for Macaulay2, which is used to compute all minimal Markov bases of a given toric ideal. The package builds on functionality of 4ti2 by producing the fiber graph of the toric ideal. The package uses this graph to compute other properties of the toric ideal such as its indispensable set of binomials as well as its universal Markov basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing all minimal Markov bases in Macaulay2 Clarke, Oliver Milner, Alexander Commutative Algebra Combinatorics 13P25, 14M25, 05C90, 62R01 We introduce the package allMarkovBases for Macaulay2, which is used to compute all minimal Markov bases of a given toric ideal. The package builds on functionality of 4ti2 by producing the fiber graph of the toric ideal. The package uses this graph to compute other properties of the toric ideal such as its indispensable set of binomials as well as its universal Markov basis. |
| title | Computing all minimal Markov bases in Macaulay2 |
| topic | Commutative Algebra Combinatorics 13P25, 14M25, 05C90, 62R01 |
| url | https://arxiv.org/abs/2502.19031 |