Indexing and Dictionary Matching with One Error

  • Authors:
  • Amihood Amir;Dmitry Keselman;Gad M. Landau;Moshe Lewenstein;Noa Lewenstein;Michael Rodeh

  • Affiliations:
  • -;-;-;-;-;-

  • Venue:
  • WADS '99 Proceedings of the 6th International Workshop on Algorithms and Data Structures
  • Year:
  • 1999

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Abstract

The indexing problem is the one where a text is preprocessed and subsequent queries of the form: "Find all occurrences of pattern P in the text" are answered in time proportional to the length of the query and the number of occurrences. In the dictionary matching problem a set of patterns is preprocessed and subsequent queries of the form: "Find all occurrences of dictionary patterns in text T" are answered in time proportional to the length of the text and the number of occurrences. In this paper we present a uniform deterministic solution to both the indexing and the general dictionary matching problem with one error. We preprocess the data in time O(nlog2n), where n is the text size in the indexing problem and the dictionary size in the dictionary matching problem. Our query time for the indexing problem is O(mlog n log log n+ tocc), where m is the query string size and tocc is the number of occurrences. Our query time for the dictionary matching problem is O(nlog3d log log d+ tocc), where n is the text size and d the dictionary size.