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...
Main Authors: | Morrison, N, Noel, J, Scott, A |
---|---|
Format: | Journal article |
Published: |
Electronic Journal of Combinatorics
2014
|
Similar Items
-
On the Sperner property and Gorenstein Algebras Associated to Matroids
by: Toshiaki Maeno, et al.
Published: (2012-01-01) -
Quadratic LYM-type inequalities for intersecting Sperner families
by: Christian Bey
Published: (2005-01-01) -
The Sperner property for 132‐avoiding intervals in the weak order
by: Gaetz, Christian, et al.
Published: (2022) -
On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
by: Barcz Eugeniusz
Published: (2022-09-01) -
Symmetric Chain Decompositions and the Strong Sperner Property for Noncrossing Partition Lattices
by: Henri Mühle
Published: (2020-04-01)