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Common words between two random strings

Philippe Jacquet 1
1 HIPERCOM - High performance communication
Inria Paris-Rocquencourt, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : We investigate the problem of enumerating the words that are common to two random strings. We show that when the source models are memoriless that the number of common words is sublinear in the length of the sequence, and linear when the source models are exactly the same. We draw the same conclusions for the number of common nodes in the associated respective suffix trees.
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https://hal.inria.fr/inria-00071368
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Submitted on : Tuesday, May 23, 2006 - 4:56:17 PM
Last modification on : Wednesday, September 16, 2020 - 5:07:09 PM
Long-term archiving on: : Tuesday, February 22, 2011 - 11:55:08 AM

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  • HAL Id : inria-00071368, version 1

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Philippe Jacquet. Common words between two random strings. [Research Report] RR-5899, INRIA. 2006. ⟨inria-00071368⟩

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