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Matching Patterns in Strings Subject to Multi-Linear Transformations

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Sequences

Abstract

Suppose we are given two strings of real numbers. The longer string is called text and the other is called pattern. We consider problems within the following framework. Suppose each symbol of the pattern was modified by any transformation which is a member in some family of transformations. Find all occurrences of the pattern in the text where the pattern may appear subject to any one of these transformations. Problems are introduced and efficient algorithms are given.

The research of this author was supported by NSF grants NSF-CCR-8615337 and NSF-DCR-8413359, ONR grant N00014-85-K-0046, by the Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy under contract number DE-AC02-76ER03077 and by the Foundation for Research in Electronics, Computers and Communication, Administered by the Israeli Academy of Sciences and Humanities. Present address: The University of Maryland Institute for Advanced Computer Studies (UMIACS), College Park, MD 20742, USA.

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© 1990 Springer-Verlag New York Inc.

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Eilam-Tzoreff, T., Vishkin, U. (1990). Matching Patterns in Strings Subject to Multi-Linear Transformations. In: Capocelli, R.M. (eds) Sequences. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3352-7_4

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  • DOI: https://doi.org/10.1007/978-1-4612-3352-7_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7977-8

  • Online ISBN: 978-1-4612-3352-7

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