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Tilted Sperner families

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Jan 2011 English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 163, pages 194-198 (issn: 0166-218X, Copyright policy )
Authors: Imre Leader; Eoin Long;

doi: 10.1016/j.dam.2012.02.024 , 10.48550/arxiv.1101.4151

arXiv: 1101.4151

Tilted Sperner families

Abstract

Let \cal A be a family of subsets of an n-set such that \cal A does not contain distinct sets A and B with |A\B| = 2|B\A|. How large can \cal A be? Our aim in this note is to determine the maximum size of such an \cal A. This answers a question of Kalai. We also give some related results and conjectures.

6 pages

Related Organizations
Keywords

05D05, Permutations, words, matrices, Sperner families, Extremal combinatorics, FOS: Mathematics, Mathematics - Combinatorics, extremal combinatorics, Combinatorics (math.CO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Top 10%
Green
hybrid