Bookmarks in grammar-compressed strings

Patrick Hagge Cording; Pawel Gawrychowski; Oren Weimann

doi:10.1007/978-3-319-46049-9_15

Bookmarks in grammar-compressed strings

Patrick Hagge Cording, Pawel Gawrychowski, Oren Weimann

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the problem of storing a grammar of size n compressing a string of size N, and a set of positions {i1, …, ib} (bookmarks) such that any substring of length l crossing one of the positions can be decompressed in O(l) time. Our solution uses space O((n+b)max{1, log^∗ n−log^∗ (n/b + b/n)}). Existing solutions for the bookmarking problem either require more space or a super-constant “kick-off” time to start the decompression.

Original language	English
Title of host publication	String Processing and Information Retrieval - 23rd International Symposium, SPIRE 2016, Proceedings
Editors	Shunsuke Inenaga, Kunihiko Sadakane, Tetsuya Sakai
Publisher	Springer Verlag
Pages	153-159
Number of pages	7
ISBN (Print)	9783319460482
DOIs	https://doi.org/10.1007/978-3-319-46049-9_15
State	Published - 2016
Event	23rd International Symposium on String Processing and Information Retrieval, SPIRE 2016 - Beppu, Japan Duration: 18 Oct 2016 → 20 Oct 2016

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9954 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	23rd International Symposium on String Processing and Information Retrieval, SPIRE 2016
Country/Territory	Japan
City	Beppu
Period	18/10/16 → 20/10/16

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG 2016.

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-319-46049-9_15

Cite this

Cording, P. H., Gawrychowski, P., & Weimann, O. (2016). Bookmarks in grammar-compressed strings. In S. Inenaga, K. Sadakane, & T. Sakai (Eds.), String Processing and Information Retrieval - 23rd International Symposium, SPIRE 2016, Proceedings (pp. 153-159). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9954 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-46049-9_15

Cording, Patrick Hagge ; Gawrychowski, Pawel ; Weimann, Oren. / Bookmarks in grammar-compressed strings. String Processing and Information Retrieval - 23rd International Symposium, SPIRE 2016, Proceedings. editor / Shunsuke Inenaga ; Kunihiko Sadakane ; Tetsuya Sakai. Springer Verlag, 2016. pp. 153-159 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We consider the problem of storing a grammar of size n compressing a string of size N, and a set of positions {i1, …, ib} (bookmarks) such that any substring of length l crossing one of the positions can be decompressed in O(l) time. Our solution uses space O((n+b)max{1, log∗ n−log∗ (n/b + b/n)}). Existing solutions for the bookmarking problem either require more space or a super-constant “kick-off” time to start the decompression.",

author = "Cording, {Patrick Hagge} and Pawel Gawrychowski and Oren Weimann",

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Cording, PH, Gawrychowski, P & Weimann, O 2016, Bookmarks in grammar-compressed strings. in S Inenaga, K Sadakane & T Sakai (eds), String Processing and Information Retrieval - 23rd International Symposium, SPIRE 2016, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9954 LNCS, Springer Verlag, pp. 153-159, 23rd International Symposium on String Processing and Information Retrieval, SPIRE 2016, Beppu, Japan, 18/10/16. https://doi.org/10.1007/978-3-319-46049-9_15

Bookmarks in grammar-compressed strings. / Cording, Patrick Hagge; Gawrychowski, Pawel; Weimann, Oren.
String Processing and Information Retrieval - 23rd International Symposium, SPIRE 2016, Proceedings. ed. / Shunsuke Inenaga; Kunihiko Sadakane; Tetsuya Sakai. Springer Verlag, 2016. p. 153-159 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9954 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - We consider the problem of storing a grammar of size n compressing a string of size N, and a set of positions {i1, …, ib} (bookmarks) such that any substring of length l crossing one of the positions can be decompressed in O(l) time. Our solution uses space O((n+b)max{1, log∗ n−log∗ (n/b + b/n)}). Existing solutions for the bookmarking problem either require more space or a super-constant “kick-off” time to start the decompression.

AB - We consider the problem of storing a grammar of size n compressing a string of size N, and a set of positions {i1, …, ib} (bookmarks) such that any substring of length l crossing one of the positions can be decompressed in O(l) time. Our solution uses space O((n+b)max{1, log∗ n−log∗ (n/b + b/n)}). Existing solutions for the bookmarking problem either require more space or a super-constant “kick-off” time to start the decompression.

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Cording PH, Gawrychowski P, Weimann O. Bookmarks in grammar-compressed strings. In Inenaga S, Sadakane K, Sakai T, editors, String Processing and Information Retrieval - 23rd International Symposium, SPIRE 2016, Proceedings. Springer Verlag. 2016. p. 153-159. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-46049-9_15

Bookmarks in grammar-compressed strings

Abstract

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Bibliographical note

ASJC Scopus subject areas

Access to Document

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