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Update Query Time Trade-Off for Dynamic Suffix Arrays

Authors Amihood Amir, Itai Boneh

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Author Details

Amihood Amir
  • Department of Computer Science, Bar-Ilan University, Ramat Gan, Israel
Itai Boneh
  • Department of Computer Science, Bar-Ilan University, Ramat Gan, Israel

Funding

  • Amir, Amihood: Partly supported by ISF grant 1475/18 and BSF grant 2018141.

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Amihood Amir and Itai Boneh. Update Query Time Trade-Off for Dynamic Suffix Arrays. In 31st International Symposium on Algorithms and Computation (ISAAC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 181, pp. 63:1-63:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020) https://doi.org/10.4230/LIPIcs.ISAAC.2020.63

Abstract

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.
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].
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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Pattern matching
  • Theory of computation → Sorting and searching
Keywords
  • String Algorithms
  • Dynamic Algorithms
  • Suffix Array
  • Inverse Suffix Array

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