Tilted Sperner Families
Combinatorics
2011-01-24 v1
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.
Keywords
Cite
@article{arxiv.1101.4151,
title = {Tilted Sperner Families},
author = {Imre Leader and Eoin Long},
journal= {arXiv preprint arXiv:1101.4151},
year = {2011}
}
Comments
6 pages