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        <identifier>oai:drops-oai.dagstuhl.de:13407</identifier>
        <datestamp>2024-03-14T07:16:37Z</datestamp>
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          <dc:title>Update Query Time Trade-Off for Dynamic Suffix Arrays</dc:title>
          <dc:creator>Amir, Amihood</dc:creator>
          <dc:creator>Boneh, Itai</dc:creator>
          <dc:subject>String Algorithms</dc:subject>
          <dc:subject>Dynamic Algorithms</dc:subject>
          <dc:subject>Suffix Array</dc:subject>
          <dc:subject>Inverse Suffix Array</dc:subject>
          <dc:description>The Suffix Array SA(S) of a string S[1 … n] is an array containing all the suffixes of S sorted by lexicographic order. The suffix array is one of the most well known indexing data structures, and it functions as a key tool in many string algorithms.&#13;
In this paper, we present a data structure for maintaining the Suffix Array of a dynamic string. For every 1 ≤ k ≤ n, our data structure reports SA[i] in 𝒪̃(n/k) time and handles text modification in 𝒪̃(k) time. Additionally, our data structure enables the same query time for reporting iSA[i], with iSA being the Inverse Suffix Array of S[1 … n].&#13;
Our data structure can be used to construct sub-linear dynamic variants of static strings algorithms or data structures that are based on the Suffix Array and the Inverse Suffix Array.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Amihood Amir and Itai Boneh</dc:contributor>
          <dc:date>2020</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 181, 31st International Symposium on Algorithms and Computation (ISAAC 2020)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
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          <dc:identifier>doi:10.4230/LIPIcs.ISAAC.2020.63</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-134070</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2020.63</dc:identifier>
          <dc:language>eng</dc:language>
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