Approximate OBST

Suppose we are given nn keys and the probabilities of accessing each key and those occurring in the gap between two successive keys. The approximate optimal binary search tree problem is to construct a binary search tree on these nn keys, whose expected access time is within an approximation factor of the optimal time.

Parameters

  • nn: number of elements

Filters

Computational Model

Randomization

Approximation

Algorithms Table

Displaying 4 of 4 algorithms

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de Prisco1993O(n)O(n)O(n)O(n)
Levcopoulos; Lingas; Sack1989O(n)O(n)O(n)O(n)
Larmore1987O(n1.6)O(n^{1.6})O(n)O(n)
Melhorn's Approximation algorithm1975O(n)O(n)O(n)O(n)

Reductions Table

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Other relevant algorithms

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