Enumerating all minimal hitting sets in polynomial total time

March 14, 2023 ยท The Ethereal ยท ๐Ÿ› arXiv.org

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Marcel Wild arXiv ID 2303.07708 Category math.CO: Combinatorics Cross-listed cs.DS Citations 2 Venue arXiv.org Last Checked 3 months ago
Abstract
Consider a hypergraph (=set system) $\mathbb{H}$ whose $h$ hyperedges are subsets of a set with w elements. We show that the $R$ minimal hitting sets of $\mathbb{H}$ can be enumerated in polynomial total time $O(Rh^2 w^2)$.
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