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Pilaud, V.; Stump, C.: Generalized associahedra via brick polytopes. In: Discrete Mathematics and Theoretical Computer Science (2012), S. 73-84.
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To cite the version in the repository, please use this identifier:
https://doi.org/10.15488/1671
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Sum total of downloads: 138
| Abstract: | |
We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certain class of subword complexes containing all cluster complexes of finite types. For the latter, the brick polytopes turn out to coincide with the known realizations of generalized associahedra, thus opening new perspectives on these constructions. This new approach yields in particular the vertex description and a relevant Minkowski sum decomposition of generalized associahedra. | |
| License of this version: | CC BY 4.0 Unported |
| Document Type: | Article |
| Publishing status: | publishedVersion |
| Issue Date: | 2012 |
| Appears in Collections: | Fakultät für Elektrotechnik und Informatik |
distribution of downloads over the selected time period:
downloads by country:
| pos. | country | downloads | ||
|---|---|---|---|---|
| total | perc. | |||
| 1 |  |
Germany | 91 | 65.94% |
| 2 |  |
United States | 20 | 14.49% |
| 3 |  |
China | 10 | 7.25% |
| 4 |  |
Netherlands | 2 | 1.45% |
| 5 |  |
Indonesia | 2 | 1.45% |
| 6 |  |
Hong Kong | 2 | 1.45% |
| 7 |  |
United Arab Emirates | 2 | 1.45% |
| 8 |  |
Taiwan | 1 | 0.72% |
| 9 |  |
Latvia | 1 | 0.72% |
| 10 |  |
India | 1 | 0.72% |
| other countries | 6 | 4.35% | ||
Further download figures and rankings:
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