Two classes of level Eulerian posets
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911918453686272 |
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| author | Ehrenborg, Richard |
| author_facet | Ehrenborg, Richard |
| contents | We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two classes of level Eulerian posets Ehrenborg, Richard Combinatorics Primary 06A07, Secondary 05A15, 52B22, 57M15 We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres. |
| title | Two classes of level Eulerian posets |
| topic | Combinatorics Primary 06A07, Secondary 05A15, 52B22, 57M15 |
| url | https://arxiv.org/abs/2406.10080 |