Source characterization of the hypergraphic posets
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912548581801984 |
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| author | Gélinas, Félix |
| author_facet | Gélinas, Félix |
| contents | For a hypergraph $\mathbb{H}$ on $[n]$, the hypergraphic poset $P_\mathbb{H}$ is the transitive closure of the oriented $1$-skeleton of the hypergraphic polytope $Δ_\mathbb{H}$. In a recent paper, N. Bergeron and V. Pilaud provided a characterization of $P_\mathbb{H}$ based on the sources of acyclic orientations for interval hypergraphs. The goal of this work is to extend this source characterization of $P_\mathbb{H}$ for arbitrary hypergraphs on $[n]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Source characterization of the hypergraphic posets Gélinas, Félix Combinatorics 06B99, 52B11, 52B12 For a hypergraph $\mathbb{H}$ on $[n]$, the hypergraphic poset $P_\mathbb{H}$ is the transitive closure of the oriented $1$-skeleton of the hypergraphic polytope $Δ_\mathbb{H}$. In a recent paper, N. Bergeron and V. Pilaud provided a characterization of $P_\mathbb{H}$ based on the sources of acyclic orientations for interval hypergraphs. The goal of this work is to extend this source characterization of $P_\mathbb{H}$ for arbitrary hypergraphs on $[n]$. |
| title | Source characterization of the hypergraphic posets |
| topic | Combinatorics 06B99, 52B11, 52B12 |
| url | https://arxiv.org/abs/2508.16006 |