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IPL
2007
100views more  IPL 2007»
13 years 4 months ago
Average-case analysis of QuickSort and Binary Insertion Tree height using incompressibility
We study the Kolmogorov complexity of a Binary Insertion Tree, and present a succinct encoding scheme for Binary Insertion Trees produced from incompressible permutations. Based o...
Brendan Lucier, Tao Jiang, Ming Li
SODA
2010
ACM
196views Algorithms» more  SODA 2010»
14 years 2 months ago
Deletion Without Rebalancing in Balanced Binary Trees
We address the vexing issue of deletions in balanced trees. Rebalancing after a deletion is generally more complicated than rebalancing after an insertion. Textbooks neglect delet...
Siddhartha Sen, Robert E. Tarjan
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...