An Analysis of Binary Search Trees Formed from Sequences of Nondistinct Keys

  • Authors:
  • William H. Burge

  • Affiliations:
  • Computer Sciences Department, IBM Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1976

Quantified Score

Hi-index 0.00

Visualization

Abstract

The expected depth of each key in the set of binary search trees formed from all sequences composed from a multiset {p1 · 1, p2 · 2, p3 · 3, ···, pn · n} is obtained, and hence the expected weight of such trees. The expected number of left-to-right local minima and the expected number of cycles in sequences composed from a multiset are then deduced from these results.