Saturating Sperner Families

نویسندگان

  • Dániel Gerbner
  • Balázs Keszegh
  • Nathan Lemons
  • Cory Palmer
  • Dömötör Pálvölgyi
  • Balázs Patkós
چکیده

A family F ⊆ 2[n] saturates the monotone decreasing property P if F satisfies P and one cannot add any set to F such that property P is still satisfied by the resulting family. We address the problem of finding the minimum size of a family saturating the k-Sperner property and the minimum size of a family that saturates the Sperner property and that consists only of l-sets and (l + 1)-sets.

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عنوان ژورنال:
  • Graphs and Combinatorics

دوره 29  شماره 

صفحات  -

تاریخ انتشار 2013