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  Prefix graphs and their applications

Chaudhuri, S., & Hagerup, T.(1994). Prefix graphs and their applications (MPI-I-94-145). Saarbrücken: Max-Planck-Institut für Informatik.

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 Creators:
Chaudhuri, Shiva1, Author           
Hagerup, Torben1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: The \Tstress{range product problem} is, for a given set $S$ equipped with an associative operator $\circ$, to preprocess a sequence $a_1,\ldots,a_n$ of elements from $S$ so as to enable efficient subsequent processing of queries of the form: Given a pair $(s,t)$ of integers with $1\le s\le t\le n$, return $a_s\circ a_{s+1}\circ\cdots\circ a_t$. The generic range product problem and special cases thereof, usually with $\circ$ computing the maximum of its arguments according to some linear order on $S$, have been extensively studied. We show that a large number of previous sequential and parallel algorithms for these problems can be unified and simplified by means of prefix graphs.

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Language(s): eng - English
 Dates: 1994
 Publication Status: Issued
 Pages: 13 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/94-145
Report Nr.: MPI-I-94-145
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Title: Research Report / Max-Planck-Institut für Informatik
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