On saturated k-Sperner systems

Given a set X, a collection F ⊆ P(X) is said to be k-Sperner if it does not contain a chain of length k + 1 under set inclusion and it is saturated if it is maximal with respect to this property. Gerbner et al. [11] conjectured that, if |X| is sufficiently large with respect to k, then the minimum s...

Full description

Bibliographic Details
Main Authors: Morrison, N, Noel, J, Scott, A
Format: Journal article
Published: Electronic Journal of Combinatorics 2014