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Tilted Sperner Families

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.

4 nodes3 linksoverview previewTilted Sperner Families
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Tilted Sperner Families4 visible / 4 total nodes / 4 links
Co-authorshipAuthorshipAuthorshipTopic signalWTilted Sperner Familiespreprint / 2011AImre LeaderResearcherAEoin LongResearcherTmath.CO8936 works
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Tilted Sperner Families

preprint / 2011

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