Analysis of a new skip list variant

Guy Louchard (1) , Helmut Prodinger (2)

1 ULB - Département d'Informatique [Bruxelles]
2 DMS - Department of Mathematical Sciences [Matieland, Stellenbosch Uni.]

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 $(Q+1) \log_Q n$.

Mots clés: Skip list; Rice's method; moments; functional equation; asymptotic expansion

Domaines: Algorithme et structure de données [cs.DS]; Mathématique discrète [cs.DM]; Combinatoire [math.CO]

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, ⟨10.46298/dmtcs.3476⟩. ⟨hal-01184678⟩