Randomized splay trees: Theoretical and experimental results

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Randomized splay trees: Theoretical and experimental results
Splay trees are self-organizing binary search trees that were introduced by Sleator and Tarjan [12]. In this paper we present a randomized variant of these trees. The new algorithm for reorganizing the tree is both simple and easy to implement. We prove that our randomized splaying scheme has the same asymptotic performance as the original deterministic scheme but improves constants in the expected running time. This is interesting in practice because the search time in splay trees is typically higher than the search time in skip lists and AVLtrees. We present a detailed experimental study of our algorithm. On request sequences generated by fixed probability distributions, we can achieve improvements of up to 25% over deterministic splaying. On request sequences that exhibit high locality of reference, the improvements are minor.
Susanne Albers, Marek Karpinski
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Where IPL
Authors Susanne Albers, Marek Karpinski
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