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» The height of q-Binary Search Trees
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DMTCS
2002
108views Mathematics» more  DMTCS 2002»
13 years 5 months ago
The height of q-Binary Search Trees
Abstract. q
Michael Drmota, Helmut Prodinger
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Smoothed Analysis of Binary Search Trees
Binary search trees are one of the most fundamental data structures. While the height of such a tree may be linear in the worst case, the average height with respect to the uniform...
Bodo Manthey, Rüdiger Reischuk
ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
13 years 5 months ago
Large Deviations for the Weighted Height of an Extended Class of Trees
We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
Nicolas Broutin, Luc Devroye
DAGSTUHL
2007
13 years 6 months ago
Smoothed Analysis of Binary Search Trees and Quicksort Under Additive Noise
Binary search trees are a fundamental data structure and their height plays a key role in the analysis of divide-and-conquer algorithms like quicksort. Their worst-case height is l...
Bodo Manthey, Till Tantau
ISAAC
2009
Springer
83views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Deletion without Rebalancing in Multiway Search Trees
Many database systems that use a B+ tree as the underlying data structure do not do rebalancing on deletion. This means that a bad sequence of deletions can create a very unbalance...
Siddhartha Sen, Robert Endre Tarjan