Asymptotic lengths of permutahedra and associahedra
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913651184631808 |
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| author | Poliakova, Daria |
| author_facet | Poliakova, Daria |
| contents | We define asymptotic lengths for families of oriented polytopes. We show that permutahedra with weak order orientations have asymptotic total length 1 and associahedra with Tamari order orientations have asymptotic total length 1/2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic lengths of permutahedra and associahedra Poliakova, Daria Combinatorics 52B05, 52B11, 52B12, 06A07 We define asymptotic lengths for families of oriented polytopes. We show that permutahedra with weak order orientations have asymptotic total length 1 and associahedra with Tamari order orientations have asymptotic total length 1/2. |
| title | Asymptotic lengths of permutahedra and associahedra |
| topic | Combinatorics 52B05, 52B11, 52B12, 06A07 |
| url | https://arxiv.org/abs/2501.08431 |