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arXiv · 1101.4151

Tilted Sperner Families

Imre Leader·Eoin Long
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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.

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Imre Leader, Eoin Long. 2011-01-21. Tilted Sperner Families. https://arxiv.org/abs/1101.4151

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