136 citations · 186 across the 12 of their papers we have counts for
Showing 2011 · math.COShow all
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math.CO2011
Two-part set systems
Dániel Gerbner, Péter L. Erdős, Nathan Lemons +3
The two part Sperner theorem of Katona and Kleitman states that if is an -element set with partition , and $\cF$ is a family of subsets of such that no two…
math.CO2011★ 1 cited
Saturating Sperner families
Dániel Gerbner, Balázs Keszegh, Nathan Lemons +3
A family $\cF \subseteq 2^{[n]}$ saturates the monotone decreasing property $\cP$ if $\cF$ satisfies $\cP$ and one cannot add any set to $\cF$ such that property $\cP$ is still sat…
math.CO2011★ 1 cited
Cross-Sperner families
Dániel Gerbner, Nathan Lemons, Cory Palmer +2
A pair of families $(\cF,\cG)$ is said to be \emph{cross-Sperner} if there exists no pair of sets $F \in \cF, G \in \cG$ with or . There are two ways…