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1
Dynamic Suffix Array with Polylogarithmic Queries and Updates ...
Kempa, Dominik; Kociumaka, Tomasz. - : arXiv, 2022
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2
Faster Algorithms for Longest Common Substring ...
Charalampopoulos, Panagiotis; Kociumaka, Tomasz; Pissis, Solon P.. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021
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3
Breaking the $O(n)$-Barrier in the Construction of Compressed Suffix Arrays ...
Kempa, Dominik; Kociumaka, Tomasz. - : arXiv, 2021
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4
Faster Algorithms for Longest Common Substring ...
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5
Time-Space Tradeoffs for Finding a Long Common Substring ...
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6
Time-Space Tradeoffs for Finding a Long Common Substring ...
Ben-Nun, Stav; Golan, Shay; Kociumaka, Tomasz. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020
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7
Practical Performance of Space Efficient Data Structures for Longest Common Extensions ...
Dinklage, Patrick; Fischer, Johannes; Herlez, Alexander. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020
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8
Faster Approximate Pattern Matching: A Unified Approach ...
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9
Longest Unbordered Factor in Quasilinear Time
Kociumaka, Tomasz; Kundu, Ritu; Mohamed, Manal. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2018. : LIPIcs - Leibniz International Proceedings in Informatics. 29th International Symposium on Algorithms and Computation (ISAAC 2018), 2018
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10
Longest Unbordered Factor in Quasilinear Time ...
Kociumaka, Tomasz; Kundu, Ritu; Mohamed, Manal. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2018
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11
Longest Unbordered Factor in Quasilinear Time ...
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12
Maximal Unbordered Factors of Random Strings ...
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13
Efficient Index for Weighted Sequences
Barton, Carl; Kociumaka, Tomasz; Pissis, Solon P.. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2016. : LIPIcs - Leibniz International Proceedings in Informatics. 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016), 2016
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14
Minimal Suffix and Rotation of a Substring in Optimal Time
Kociumaka, Tomasz. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2016. : LIPIcs - Leibniz International Proceedings in Informatics. 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016), 2016
Abstract: For a text of length $n$ given in advance, the substring minimal suffix queries ask to determine the lexicographically minimal non-empty suffix of a substring specified by the location of its occurrence in the text. We develop a data structure answering such queries optimally: in constant time after linear-time preprocessing. This improves upon the results of Babenko et al. (CPM 2014), whose trade-off solution is characterized by Theta(n log n) product of these time complexities. Next, we extend our queries to support concatenations of O(1) substrings, for which the construction and query time is preserved. We apply these generalized queries to compute lexicographically minimal and maximal rotations of a given substring in constant time after linear-time preprocessing. Our data structures mainly rely on properties of Lyndon words and Lyndon factorizations. We combine them with further algorithmic and combinatorial tools, such as fusion trees and the notion of order isomorphism of strings.
Keyword: Data processing Computer science; Lyndon factorization; minimal rotation; minimal suffix; substring canon- ization; substring queries
URN: urn:nbn:de:0030-drops-60626
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6062/
https://doi.org/10.4230/LIPIcs.CPM.2016.28
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15
Minimal Suffix and Rotation of a Substring in Optimal Time ...
Kociumaka, Tomasz. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2016
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16
Sparse Suffix Tree Construction in Optimal Time and Space ...
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17
Minimal Suffix and Rotation of a Substring in Optimal Time ...
Kociumaka, Tomasz. - : arXiv, 2016
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18
Optimal Dynamic Strings ...
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19
Wavelet Trees Meet Suffix Trees ...
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20
Substring Suffix Selection ...
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