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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > BINARY SEARCH TREES:
Reports tagged with Binary Search Trees:
TR05-063 | 24th June 2005
Bodo Manthey, RĂ¼diger Reischuk

Smoothed Analysis of the Height of Binary Search Trees

Revisions: 2

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 distribution is only logarithmic. The exact value is one
of the best studied problems in average case ... more >>>


TR07-039 | 27th March 2007
Bodo Manthey, Till Tantau

Smoothed Analysis of Binary Search Trees and Quicksort Under Additive Noise

Revisions: 1

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 linear; their average height,
whose exact value is one of the best-studied problems in average-case
complexity, is logarithmic. We analyze their smoothed height ... more >>>




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