On the number of faces of Gelfand-Zetlin polytopes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866918096529260544 |
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| author | Melikhova, Ekaterina V. |
| author_facet | Melikhova, Ekaterina V. |
| contents | We obtain a recurrence relation for the f-polynomial of Gelfand-Zetlin polytopes by analyzing geometric properties of a linear projection of the Gelfand-Zetlin polytope onto a cube. We apply this recurrence relation to find explicit formulas for the f-polynomials and h-polynomials of Gelfand-Zetlin polytopes that belong to several simplest one-parameter families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1705_07074 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On the number of faces of Gelfand-Zetlin polytopes Melikhova, Ekaterina V. Combinatorics We obtain a recurrence relation for the f-polynomial of Gelfand-Zetlin polytopes by analyzing geometric properties of a linear projection of the Gelfand-Zetlin polytope onto a cube. We apply this recurrence relation to find explicit formulas for the f-polynomials and h-polynomials of Gelfand-Zetlin polytopes that belong to several simplest one-parameter families. |
| title | On the number of faces of Gelfand-Zetlin polytopes |
| topic | Combinatorics |
| url | https://arxiv.org/abs/1705.07074 |