On the Dynamic Finger Conjecture for Splay Trees. Part II: The Proof

  • Authors:
  • Richard Cole

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2000

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Abstract

The following result is shown: On an n-node splay tree, the amortized cost of an access at distance d from the preceding access is O(log (d+1)). In addition, there is an O(n) initialization cost. The accesses include searches, insertions, and deletions.