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FOCS
2004
IEEE
13 years 9 months ago
Dynamic Optimality -- Almost
We present an O(lg lg n)-competitive online binary search tree, improving upon the best previous (trivial) competitive ratio of O(lg n). This is the first major progress on Sleator...
Erik D. Demaine, Dion Harmon, John Iacono, Mihai P...
TCS
2008
13 years 5 months ago
The cost of offline binary search tree algorithms and the complexity of the request sequence
In evaluating the performance of online algorithms for search trees, one wants to compare them to the best offline algorithm available. In this paper we lower bound the cost of an...
Jussi Kujala, Tapio Elomaa
SWAT
2010
Springer
270views Algorithms» more  SWAT 2010»
13 years 10 months ago
An O(log log n)-Competitive Binary Search Tree with Optimal Worst-Case Access Times
We present the zipper tree, the first O(log log n)-competitive online binary search tree that performs each access in O(log n) worst-case time. This shows that for binary search ...
Prosenjit Bose, Karim Douïeb, Vida Dujmovic, ...
CPC
2008
135views more  CPC 2008»
13 years 5 months ago
Subtree Sizes in Recursive Trees and Binary Search Trees: Berry-Esseen Bounds and Poisson Approximations
We study the number of subtrees on the fringe of random recursive trees and random binary search trees whose limit law is known to be either normal or Poisson or degenerate depend...
Michael Fuchs

Book
2145views
15 years 3 months ago
An Introduction to Binary Search Trees and Balanced Trees
"Libavl is a library in ANSI C for manipulation of various types of binary trees. This book provides an introduction to binary tree techniques and presents all of Libavl’s ...
Ben Pfaff