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1
Constructing Strings Avoiding Forbidden Substrings
In: CPM 2021 - 32nd Annual Symposium on Combinatorial Pattern Matching ; https://hal.inria.fr/hal-03395386 ; CPM 2021 - 32nd Annual Symposium on Combinatorial Pattern Matching, Jul 2021, Wroclaw, Poland. pp.1-18 (2021)
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2
String Sampling with Bidirectional String Anchors ...
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3
Faster Algorithms for Longest Common Substring ...
Charalampopoulos, Panagiotis; Kociumaka, Tomasz; Pissis, Solon P.. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021
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4
Constructing Strings Avoiding Forbidden Substrings ...
Bernardini, Giulia; Marchetti-Spaccamela, Alberto; Pissis, Solon P.. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021
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5
Faster Algorithms for Longest Common Substring ...
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6
Bidirectional String Anchors: A New String Sampling Mechanism ...
Loukides, Grigorios; Pissis, Solon P.. - : Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021
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7
Unary Words Have the Smallest Levenshtein k-Neighbourhoods
Charalampopoulos, Panagiotis; Pissis, Solon P.; Radoszewski, Jakub. - : LIPIcs - Leibniz International Proceedings in Informatics. 31st Annual Symposium on Combinatorial Pattern Matching (CPM 2020), 2020
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8
Longest Common Substring Made Fully Dynamic
Amir, Amihood; Charalampopoulos, Panagiotis; Pissis, Solon P.. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2019. : LIPIcs - Leibniz International Proceedings in Informatics. 27th Annual European Symposium on Algorithms (ESA 2019), 2019
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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 Common Prefixes with $k$-Errors and Applications ...
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11
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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12
Longest Unbordered Factor in Quasilinear Time ...
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13
Optimal Computation of Overabundant Words
Almirantis, Yannis; Charalampopoulos, Panagiotis; Gao, Jia; Iliopoulos, Costas S.; Mohamed, Manal; Pissis, Solon P.; Polychronopoulos, Dimitris. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2017. : LIPIcs - Leibniz International Proceedings in Informatics. 17th International Workshop on Algorithms in Bioinformatics (WABI 2017), 2017
Abstract: The observed frequency of the longest proper prefix, the longest proper suffix, and the longest infix of a word w in a given sequence x can be used for classifying w as avoided or overabundant. The definitions used for the expectation and deviation of w in this statistical model were described and biologically justified by Brendel et al. (J Biomol Struct Dyn 1986). We have very recently introduced a time-optimal algorithm for computing all avoided words of a given sequence over an integer alphabet (Algorithms Mol Biol 2017). In this article, we extend this study by presenting an O(n)-time and O(n)-space algorithm for computing all overabundant words in a sequence x of length n over an integer alphabet. Our main result is based on a new non-trivial combinatorial property of the suffix tree T of x: the number of distinct factors of x whose longest infix is the label of an explicit node of T is no more than 3n-4. We further show that the presented algorithm is time-optimal by proving that O(n) is a tight upper bound for the number of overabundant words. Finally, we present experimental results, using both synthetic and real data, which justify the effectiveness and efficiency of our approach in practical terms.
Keyword: avoided words; Data processing Computer science; DNA sequence analysis; overabundant words; suffix tree
URN: urn:nbn:de:0030-drops-76468
URL: https://drops.dagstuhl.de/opus/volltexte/2017/7646/
https://doi.org/10.4230/LIPIcs.WABI.2017.4
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14
Optimal Computation of Overabundant Words ...
Almirantis, Yannis; Charalampopoulos, Panagiotis; Gao, Jia. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2017
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15
Optimal Computation of Overabundant Words ...
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16
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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17
Optimal Computation of Avoided Words ...
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18
Linear-time computation of minimal absent words using suffix array
Barton, Carl; Heliou, Alice; Mouchard, Laurent. - : BioMed Central, 2014
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19
Order-Preserving Suffix Trees and Their Algorithmic Applications ...
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