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ISAAC
2003
Springer
134views Algorithms» more  ISAAC 2003»
13 years 10 months ago
New Ways to Construct Binary Search Trees
Abstract. We give linear-time algorithms for re-ordering and heightrestricting a binary search tree with only a small increase in cost, constructing a nearly optimal binary search ...
Travis Gagie
ALGORITHMICA
2006
174views more  ALGORITHMICA 2006»
13 years 4 months ago
Profiles of Random Trees: Limit Theorems for Random Recursive Trees and Binary Search Trees
We prove convergence in distribution for the profile (the number of nodes at each level), normalized by its mean, of random recursive trees when the limit ratio of the level and ...
Michael Fuchs, Hsien-Kuei Hwang, Ralph Neininger
FOCS
2004
IEEE
13 years 8 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 4 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 9 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, ...