Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908760067276800 |
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| author | Shapiro, Anna |
| author_facet | Shapiro, Anna |
| contents | The cave polynomial of a polymatroid was recently introduced and used to study the syzygies of polymatroidal ideals. We study the combinatorial relationships between three formulas for the cave polynomial. As an application, we interpret the Snapper polynomial in terms of these three formulas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07697 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid Shapiro, Anna Combinatorics Commutative Algebra Algebraic Geometry Primary: 52B40, 14C17. Secondary: 13H15 The cave polynomial of a polymatroid was recently introduced and used to study the syzygies of polymatroidal ideals. We study the combinatorial relationships between three formulas for the cave polynomial. As an application, we interpret the Snapper polynomial in terms of these three formulas. |
| title | Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid |
| topic | Combinatorics Commutative Algebra Algebraic Geometry Primary: 52B40, 14C17. Secondary: 13H15 |
| url | https://arxiv.org/abs/2601.07697 |