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Analysis of a new skip list variant

Abstract : For a skip list variant, introduced by Cho and Sahni, we analyse what is the analogue of horizontal plus vertical search cost in the original skip list model. While the average in Pugh's original version behaves like $Q \log_Q n$, with $Q = \frac{1}{q}$ a parameter, it is here given by $(Q+1) \log_Q n$.
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Guy Louchard, Helmut Prodinger. Analysis of a new skip list variant. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.365-374. ⟨hal-01184678⟩

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