Occupancy problems and random algebras

نویسندگان

  • Michael H. Albert
  • Alan M. Frieze
چکیده

For k randomly chosen subsets of [n] = {1,2, ,n} we consider the probability that the Boolean algebra, distributive lattice, and meet semilattice which they generate are respectively free, or all of 2*. In each case we describe a threshold function for the occurrence of these events. The threshold functions for freeness are close to their theoretical maximum values. 1 §

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عنوان ژورنال:
  • Discrete Mathematics

دوره 87  شماره 

صفحات  -

تاریخ انتشار 1991