Tilted Sperner families

Imre Leader; Eoin Long

doi:10.1016/j.dam.2012.02.024

Tilted Sperner families

Imre Leader, Eoin Long

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

170 Downloads (Pure)

Abstract

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

Original language	English
Pages (from-to)	194-198
Number of pages	5
Journal	Discrete Applied Mathematics
Volume	163
Issue number	2
Early online date	7 Apr 2012
DOIs	https://doi.org/10.1016/j.dam.2012.02.024
Publication status	Published - 30 Jan 2014

Keywords

Extremal combinatorics
Sperner families

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title = "Tilted Sperner families",

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

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KW - Extremal combinatorics

KW - Sperner families

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Tilted Sperner families

Abstract

Keywords

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