Bounds for Weight Balanced Trees

نویسنده

  • Jorma Rissanen
چکیده

It has been shown that the cost W of a weight balanced binary tree satisfies the inequalities, H 5 W 5 H + 3, where H is the entropy of the set of the leaves. For a class of “smooth” distributions the inequalities, H 5 W 5 H + 2, are derived. These results imply that for sets with large entropy the search times provided by such trees cannot be substantially shortened when binary decisions are being used.

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عنوان ژورنال:
  • IBM Journal of Research and Development

دوره 17  شماره 

صفحات  -

تاریخ انتشار 1973