A Note on the Probabilistic Analysis of Patricia Trees

نویسنده

  • Luc Devroye
چکیده

We consider random patricia trees constructed from n i.i.d. sequences of independent equiprobable bits. We study the height Hn (the maximal distance between the root and a leaf), and the minimal fill-up level Fn (the minimum distance between the root and a leaf). We give probabilistic proofs of Hn − log2 n √ 2 log2 n → 1 almost surely and Fn − log2 n log2 logn → −1 almost surely.

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 3  شماره 

صفحات  -

تاریخ انتشار 1992