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.

Bibliographic Details
Main Authors: Alexandre Bazin, Laurent Beaudou, Giacomo Kahn, Kaveh Khoshkhah
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2023-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/7129/pdf