Tilted Sperner Families

Details Tilted Sperner Families Tilted Sperner Families

2011-01-21

arxiv.org/abs/1101.4151v1

Mathematics

Combinatorics

6 pages

Scientific paper

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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