Bounding the Number of Minimal Transversals in Tripartite 3-Uniform Hypergraphs
Discrete mathematics & theoretical computer science, special issue in honour of Maurice Pouzet, Tome 23 (2021-2022) no. 2.

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We focus on the maximum number of minimal transversals in 3-partite 3-uniform hypergraphs on n vertices. Those hypergraphs (and their minimal transversals) are commonly found in database applications. In this paper we prove that this number grows at least like 1.4977^n and at most like 1.5012^n.
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Bazin, Alexandre; Beaudou, Laurent; Kahn, Giacomo; Khoshkhah, Kaveh. Bounding the Number of Minimal Transversals in Tripartite 3-Uniform Hypergraphs. Discrete mathematics & theoretical computer science, special issue in honour of Maurice Pouzet, Tome 23 (2021-2022) no. 2. doi : 10.46298/dmtcs.7129. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.7129/

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