The 11-element case of Frankl's conjecture
type: Item
instance of: scholarly article
title: The 11-element case of Frankl's conjecture
zbMATH Open document ID: 1180.05119
author: Ivica Bosnjak
author: Petar Marković
published in: The Electronic Journal of Combinatorics
publication date: 2009-04-07T00:00:00Z
full work available at URL: https://eudml.org/doc/117258
full work available at URL: v15i1r88.html
review text: Summary: In 1979, \textit{P.Frankl} [Discrete Math. 26, 111--118 (1979; Zbl 0397.05004)] conjectured that in a finite union-closed family \({\mathcal F}\) of finite sets, \({\mathcal F}\neq\{\emptyset\}\), there has to be an element that belongs to at least half of the sets in \({\mathcal F}\). We prove this when \(|\bigcup{\mathcal F}|\leq 11\).
Mathematics Subject Classification ID: 05D05
Mathematics Subject Classification ID: 05A05
zbMATH DE Number: 5540993
zbMATH Keywords: Frankl's conjecture
zbMATH Keywords: union closed family of finite sets
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5540993