Skip to Main content Skip to Navigation
Conference papers

Dichotomic Selection on Words: A Probabilistic Analysis

Ali Akhavi 1 Julien Clément 1 Dimitri Darthenay 1 Loïck Lhote 1 Brigitte Vallée 1
1 Equipe AMACC - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Abstract : The paper studies the behaviour of selection algorithms that are based on dichotomy principles. On the entry formed by an ordered list L and a searched element x ∈ L, they return the interval of the list L the element x belongs to. We focus here on the case of words, where dichotomy principles lead to a selection algorithm designed by Crochemore, Hancart and Lecroq, which appears to be "quasi-optimal". We perform a probabilistic analysis of this algorithm that exhibits its quasi-optimality on average.
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02152162
Contributor : Julien Clément <>
Submitted on : Tuesday, June 11, 2019 - 3:11:14 PM
Last modification on : Monday, December 14, 2020 - 5:58:11 PM

File

LIPIcs-CPM-2019-19.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Ali Akhavi, Julien Clément, Dimitri Darthenay, Loïck Lhote, Brigitte Vallée. Dichotomic Selection on Words: A Probabilistic Analysis. 30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019), Jun 2019, Pisa, Italy. pp.19:1-19:19, ⟨10.4230/LIPIcs.CPM.2019.19⟩. ⟨hal-02152162⟩

Share

Metrics

Record views

90

Files downloads

66