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

被引：0

作者：

Bazin A. ^{[1
]}

Beaudou L. ^{[2
]}

Kahn G. ^{[3
]}

Khoshkhah K. ^{[4
]}

机构：

[1] Université de Montpellier, CNRS, LIRMM, Montpellier

[2] Université Clermont Auvergne, Clermont Auvergne INP, CNRS, Mines Saint-Etienne, LIMOS, Clermont-Ferrand

[3] Univ Lyon, Univ Lumière Lyon 2, INSA Lyon, Université Claude Bernard Lyon 1, DISP, EA4570, Bron

[4] Institute of Computer Science, University of Tartu, Tartu

来源：

Discrete Mathematics and Theoretical Computer Science | 2023年 / 23卷 / 02期

关键词：

conquer; hypergraphs; measure; Minimal transversals;

D O I：

10.46298/DMTCS.7129

中图分类号：

学科分类号：

摘要：

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 1.4977n and at most like 1.5012n © 2023 by the author(s).

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