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» The height of q-Binary Search Trees
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DMTCS
2002
108views Mathematics» more  DMTCS 2002»
15 years 27 days ago
The height of q-Binary Search Trees
Abstract. q
Michael Drmota, Helmut Prodinger
118
Voted
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 6 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
150
Voted
ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
15 years 1 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
133
Voted
DAGSTUHL
2007
15 years 2 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
95
Voted
ISAAC
2009
Springer
83views Algorithms» more  ISAAC 2009»
15 years 7 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