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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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  <dc:creator>Hooshmand, Sahar</dc:creator>
  <dc:creator>Abedin, Paniz</dc:creator>
  <dc:creator>Kulekci, M. Oguzhan</dc:creator>
  <dc:creator>Thankachan, Sharma V.</dc:creator>
  <dc:date>2021-01-01</dc:date>
  <dc:description>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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/237248</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:237248</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>THEORETICAL COMPUTER SCIENCE 857 1-7</dc:source>
  <dc:title>I/O-efficient data structures for non-overlapping indexing</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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