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

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Discrete mathematics and theoretical computer science Jg. 23 no. 2, special issue...; H. Special issues
Hauptverfasser: Bazin, Alexandre, Beaudou, Laurent, Kahn, Giacomo, Khoshkhah, Kaveh
Format: Journal Article
Sprache:Englisch
Veröffentlicht: DMTCS 20.04.2023
Discrete Mathematics & Theoretical Computer Science
Schlagworte:
[info.info-dm]computer science [cs]/discrete mathematics [cs.dm]
[math.math-co]mathematics [math]/combinatorics [math.co]
Combinatorics
Computer Science
Discrete Mathematics
hypergraphs
Mathematics
measure and conquer
minimal transversal
Measure and conquer
Hypergraphs
Minimal transversal
ISSN:1365-8050, 1462-7264, 1365-8050
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1365-8050
1462-7264
1365-8050
DOI:10.46298/dmtcs.7129