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arXiv · 2508.16006

Source characterization of the hypergraphic posets

Félix Gélinas
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Abstract

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 $[n]$.

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Félix Gélinas. 2025-08-21. Source characterization of the hypergraphic posets. https://arxiv.org/abs/2508.16006

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