Bounding the Number of Minimal Transversals in Tripartite 3-Uniform Hypergraphs

Autor: Alexandre Bazin, Laurent Beaudou, Giacomo Kahn, Kaveh Khoshkhah
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol vol. 23 no. 2, special issue..., Iss Special issues (2023)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.7129
Popis: 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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