Bounds on maximal families of sets not containing three sets with A boolean AND B subset of C, A not subset of B

TitleBounds on maximal families of sets not containing three sets with A boolean AND B subset of C, A not subset of B
Publication TypeJournal Article
AuthorsCarroll, T., and G. O. H. Katona
Journal titleOrder-a Journal on the Theory of Ordered Sets and Its Applications
Year2008
Pages229 - 236
Volume25
Issue3
Abstract

Lower and upper estimates are given on the size of a family of subsets of an n- element set containing no three distinct sets satisfying A boolean AND B subset of C, A not subset of B. This is a sharpening of an earlier result where the same question was solved under the condition that there are no three distinct sets such that A boolean AND B subset of C.

Languageeng
Notes

Aug; Bounds on maximal families of sets not containing three sets with A boolean AND B subset of C, A not subset of B; Carroll, Teena Katona, Gyula O. H.

Publisher linkhttp://www.springerlink.com/content/m7423754558v6j2p/fulltext.pdf