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» An Introduction to Binary Search Trees and Balanced Trees
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WADS
2009
Springer
257views Algorithms» more  WADS 2009»
13 years 11 months ago
Rank-Balanced Trees
Since the invention of AVL trees in 1962, a wide variety of ways to balance binary search trees have been proposed. Notable are red-black trees, in which bottom-up rebalancing afte...
Bernhard Haeupler, Siddhartha Sen, Robert Endre Ta...
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
SODA
2008
ACM
143views Algorithms» more  SODA 2008»
13 years 6 months ago
Dynamic optimality for skip lists and B-trees
Sleator and Tarjan [39] conjectured that splay trees are dynamically optimal binary search trees (BST). In this context, we study the skip list data structure introduced by Pugh [...
Prosenjit Bose, Karim Douïeb, Stefan Langerma...
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
PODC
2004
ACM
13 years 10 months ago
Balanced binary trees for ID management and load balance in distributed hash tables
We present a low-cost, decentralized algorithm for ID management in distributed hash tables (DHTs) managed by a dynamic set of hosts. Each host is assigned an ID in the unit inter...
Gurmeet Singh Manku