Bounded powers of edge ideals: symmetric exchange binomials
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918093898383360 |
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| author | Hibi, Takayuki Fakhari, Seyed Amin Seyed |
| author_facet | Hibi, Takayuki Fakhari, Seyed Amin Seyed |
| contents | It has been conjectured that the toric ideal of the base ring of a discrete polymatroid is generated by symmetric exchange binomials. In the present paper, we give several classes of discrete polymatroids which yield toric ideals generated by symmetric exchange binomials. Especially, we are interested in the discrete polymatroids arising from bounded powers of edge ideals of finite graphs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_11815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded powers of edge ideals: symmetric exchange binomials Hibi, Takayuki Fakhari, Seyed Amin Seyed Commutative Algebra Combinatorics It has been conjectured that the toric ideal of the base ring of a discrete polymatroid is generated by symmetric exchange binomials. In the present paper, we give several classes of discrete polymatroids which yield toric ideals generated by symmetric exchange binomials. Especially, we are interested in the discrete polymatroids arising from bounded powers of edge ideals of finite graphs. |
| title | Bounded powers of edge ideals: symmetric exchange binomials |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2507.11815 |