Families of finite sets with minimum shadows
type: Item
instance of: scholarly article
title: Families of finite sets with minimum shadows
zbMATH Open document ID: 0641.05002
DOI: 10.1007/BF02579261
author: J. Griggs
author: Zoltán Füredi
published in: Combinatorica
publication date: 1986-01-01T00:00:00Z
review text: The summary of the authors: ``The following problem was answered by a theorem of Kruskal, Katona, and Lindström about 20 years ago: Given a family of k-element sets \(F,| F| =m\), at least how many (k-d)- element subsets are contained in the members of F? This paper deals with the extremal families, e.g., they are completely described for infinitely many values of m.''
Mathematics Subject Classification ID: 05A05
zbMATH DE Number: 4043846
zbMATH Keywords: subsets
zbMATH Keywords: extremal families
reviewed by: B. Andrasfai
MaRDI profile type: Publication
cites work: INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
cites work: A new short proof for the Kruskal-Katona theorem
cites work: Q4071752
cites work: A generalization of a theorem of Kruskal
full work available at URL: https://doi.org/10.1007/bf02579261
OpenAlex ID: W1972612624
description: scientific article; zbMATH DE number 4043846