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Forbidden Patterns

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LATIN 2012: Theoretical Informatics (LATIN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7256))

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Abstract

We consider the problem of indexing a collection of documents (a.k.a. strings) of total length n such that the following kind of queries are supported: given two patterns P  +  and P −, list all \(\ensuremath{n_\text{match}}\) documents containing P  +  but not P −. This is a natural extension of the classic problem of document listing as considered by Muthukrishnan [SODA’02], where only the positive pattern P  +  is given. Our main solution is an index of size O(n 3/2) bits that supports queries in \(O(|\ensuremath{P^+}|+|\ensuremath{P^-}|+\ensuremath{n_\text{match}}+\sqrt{n})\) time.

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Fischer, J. et al. (2012). Forbidden Patterns. In: Fernández-Baca, D. (eds) LATIN 2012: Theoretical Informatics. LATIN 2012. Lecture Notes in Computer Science, vol 7256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29344-3_28

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  • DOI: https://doi.org/10.1007/978-3-642-29344-3_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29343-6

  • Online ISBN: 978-3-642-29344-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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