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The Ethereal
Enumerating all minimal hitting sets in polynomial total time
March 14, 2023 ยท The Ethereal ยท ๐ arXiv.org
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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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