Real-time indexing over fixed finite alphabets

  • Authors:
  • Amihood Amir;Igor Nor

  • Affiliations:
  • Bar-Ilan University, Ramat-Gan, Israel and Johns Hopkins University, Baltimore, MD;Bar-Ilan University, Ramat-Gan, Israel

  • Venue:
  • Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2008

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Abstract

The quest for a real-time indexing algorithm is ove three decades old. To date there is no convincing understandable solution to this problem. This paper provides a real-time indexing algorithm over a constant sized alphabet. Assuming the text is arriving at a constant rate, the algorithm spends O(1) time on every text symbol. Whenever a length m pattern is given, the algorithm decides in time O(m) whether there is an occurrence of the pattern in the text thus far.