Maximum union-free subfamilies

An old problem of Moser asks: what is the size of the largest union-free subfamily that one can guarantee in every family of m sets? A family of sets is called union-free if there are no three distinct sets in the family such that the union of two of the sets is equal to the third set. We show that...

Full description

Bibliographic Details
Main Authors: Fox, Jacob, Lee, Choongbum, Sudakov, Benny
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer Science + Business Media B.V. 2012
Online Access:http://hdl.handle.net/1721.1/70972