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IPL
2007
100views more  IPL 2007»
13 years 7 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 4 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»
14 years 2 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...