منابع مشابه
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 distribution is only logarithmic. The exact value is one of the best studied problems in average-case complexity. We investigate what happens in between by analysing the smoothed height of binary search trees: Random...
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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 complexity. We investigate what happens in between by analysing the smoothed height of binary search trees: random...
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The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.
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Der Beitrag enthält eine Zusammenfassung der Dissertation ”Approximability of Cycle Covers and Smoothed Analysis of Binary Search Trees“. Eine Zyklenüberdeckung eines Graphen ist ein Teilgraph, der nur aus Zyklen besteht, so dass jeder Knoten Teil genau eines Zyklus ist. Bei einer L-Zyklenüberdeckung muss zusätzlich die Länge jedes Zyklus in der Menge L liegen. Im ersten Teil der Dissertation w...
متن کاملSmoothed 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 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 under additive noise: An adversary chooses a sequence of ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2007
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2007.02.035