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1
String Indexing with Compressed Patterns
Bille, Philip; Steiner, Teresa Anna. - : LIPIcs - Leibniz International Proceedings in Informatics. 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020), 2020
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String Indexing with Compressed Patterns ...
Bille, Philip; Gørtz, Inge Li; Steiner, Teresa Anna. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020
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3
Space Efficient Construction of Lyndon Arrays in Linear Time ...
Bille, Philip; Ellert, Jonas; Fischer, Johannes; Gørtz, Inge Li; Kurpicz, Florian; Munro, J. Ian; Rotenberg, Eva. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020
Abstract: Given a string S of length n, its Lyndon array identifies for each suffix S[i..n] the next lexicographically smaller suffix S[j..n], i.e. the minimal index j > i with S[i..n] ≻ S[j..n]. Apart from its plain (n log₂ n)-bit array representation, the Lyndon array can also be encoded as a succinct parentheses sequence that requires only 2n bits of space. While linear time construction algorithms for both representations exist, it has previously been unknown if the same time bound can be achieved with less than Ω(n lg n) bits of additional working space. We show that, in fact, o(n) additional bits are sufficient to compute the succinct 2n-bit version of the Lyndon array in linear time. For the plain (n log₂ n)-bit version, we only need 𝒪(1) additional words to achieve linear time. Our space efficient construction algorithm makes the Lyndon array more accessible as a fundamental data structure in applications like full-text indexing. ...
Keyword: Lyndon array; Lyndon word; nearest smaller suffixes; nearest smaller values; String algorithms; string suffixes; succinct data structures; Theory of computation → Design and analysis of algorithms
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12421/
https://dx.doi.org/10.4230/lipics.icalp.2020.14
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String Indexing with Compressed Patterns ...
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5
Deterministic Indexing for Packed Strings
Bille, Philip; Skjoldjensen, Frederik Rye. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2017. : LIPIcs - Leibniz International Proceedings in Informatics. 28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017), 2017
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6
Lempel-Ziv Compression in a Sliding Window
Bille, Philip; Cording, Patrick Hagge; Fischer, Johannes. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2017. : LIPIcs - Leibniz International Proceedings in Informatics. 28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017), 2017
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7
Lempel-Ziv Compression in a Sliding Window ...
Bille, Philip; Cording, Patrick Hagge; Fischer, Johannes. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2017
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8
Longest Common Extensions in Sublinear Space ...
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9
Time-Space Trade-Offs for Longest Common Extensions ...
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10
Sparse Suffix Tree Construction with Small Space ...
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11
Time-space trade-offs for longest common extensions
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12
Optimal Packed String Matching
Ben-Kiki, Oren; Bille, Philip; Breslauer, Dany. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2011. : LIPIcs - Leibniz International Proceedings in Informatics. IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011), 2011
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13
Optimal Packed String Matching ...
Ben-Kiki, Oren; Bille, Philip; Breslauer, Dany. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2011
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