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I/O-efficient data structures for non-overlapping indexing

Hooshmand, Sahar; Abedin, Paniz; Kulekci, M. Oguzhan; Thankachan, Sharma V.


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/237248</identifier>
  <creators>
    <creator>
      <creatorName>Hooshmand, Sahar</creatorName>
      <givenName>Sahar</givenName>
      <familyName>Hooshmand</familyName>
      <affiliation>Univ Cent Florida, Dept Comp Sci, Orlando, FL 32816 USA</affiliation>
    </creator>
    <creator>
      <creatorName>Abedin, Paniz</creatorName>
      <givenName>Paniz</givenName>
      <familyName>Abedin</familyName>
      <affiliation>Univ Cent Florida, Dept Comp Sci, Orlando, FL 32816 USA</affiliation>
    </creator>
    <creator>
      <creatorName>Kulekci, M. Oguzhan</creatorName>
      <givenName>M. Oguzhan</givenName>
      <familyName>Kulekci</familyName>
      <affiliation>Istanbul Tech Univ, Informat Inst, Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Thankachan, Sharma V.</creatorName>
      <givenName>Sharma V.</givenName>
      <familyName>Thankachan</familyName>
      <affiliation>Univ Cent Florida, Dept Comp Sci, Orlando, FL 32816 USA</affiliation>
    </creator>
  </creators>
  <titles>
    <title>I/O-Efficient Data Structures For Non-Overlapping Indexing</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2021</publicationYear>
  <dates>
    <date dateType="Issued">2021-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/237248</alternateIdentifier>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.tcs.2020.12.006</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">The non-overlapping indexing problem is defined as follows: pre-process a given text T[1, n] of length n into a data structure such that whenever a pattern P [1, m] comes as an input, we can efficiently report the largest set of non-overlapping occurrences of P in T. The best-known solution is by Cohen and Porat [ISAAC 2009]. The size of their structure is O (n) words and the query time is optimal O (m + nocc), where nocc is the output size. Later, Ganguly et al. [CPM 2015 and Algorithmica 2020] proposed a compressed space solution. We study this problem in the cache-oblivious model and present a new data structure of size O (n log n) words. It can answer queries in optimal O (m/B + log(B) n + nocc/B) I/O operations, where B is the block size. The space can be improved to O (n log(M/B) n) in the cache-aware model, where M is the size of main memory. Additionally, we study a generalization of this problem with an additional range [s, e] constraint. Here the task is to report the largest set of non-overlapping occurrences of P in T, that are within the range [s, e]. We present an O (n log(2) n) space data structure in the cache-aware model that can answer queries in optimal O (m/B + log(B) n + nocc([s,e]) B ) I/O operations, where nocc([s,e]) is the output size.</description>
  </descriptions>
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