Recognition: unknown
Tilted Sperner Families
classification
🧮 math.CO
keywords
answersconjecturescontaindeterminedistinctfamiliesfamilygive
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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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