License: 
Creative Commons Attribution-NoDerivs 3.0 Unported license (CC BY-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2009.1814
URN: urn:nbn:de:0030-drops-18148
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2009/1814/
Barbay, Jeremy ;
Navarro, Gonzalo
Compressed Representations of Permutations, and Applications
Abstract
We explore various techniques to compress a permutation $\pi$ over $n$ integers, taking advantage of ordered subsequences in $\pi$, while supporting its application $\pi(i)$ and the application of its inverse $\pi^{-1}(i)$ in small time. Our compression schemes yield several interesting byproducts, in many cases matching, improving or extending the best existing results on applications such as the encoding of a permutation in order to support iterated applications $\pi^{k}(i)$ of it, of integer functions, and of inverted lists and suffix arrays.
BibTeX - Entry
@InProceedings{barbay_et_al:LIPIcs:2009:1814,
author = {Jeremy Barbay and Gonzalo Navarro},
title = {{Compressed Representations of Permutations, and Applications}},
booktitle = {26th International Symposium on Theoretical Aspects of Computer Science},
pages = {111--122},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-09-5},
ISSN = {1868-8969},
year = {2009},
volume = {3},
editor = {Susanne Albers and Jean-Yves Marion},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2009/1814},
URN = {urn:nbn:de:0030-drops-18148},
doi = {10.4230/LIPIcs.STACS.2009.1814},
annote = {Keywords: Compression, Permutations, Succinct data structures, Adaptive sorting}
}
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Keywords: |
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Compression, Permutations, Succinct data structures, Adaptive sorting |
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Collection: |
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26th International Symposium on Theoretical Aspects of Computer Science |
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Issue Date: |
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2009 |
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Date of publication: |
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19.02.2009 |
