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Lower bounds for merging on the hypercube

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45318

Rüb,  Christine
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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MPI-I-93-148.pdf
(Any fulltext), 9MB

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Citation

Rüb, C.(1993). Lower bounds for merging on the hypercube (MPI-I-93-148). Saarbrücken: Max-Planck-Institut für Informatik.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-B768-4
Abstract
We show non-trivial lower bounds for several prefix problems in the CRCW PRAM model. Our main result is an $\Omega(\alpha(n))$ lower bound for the chaining problem, matching the previously known upper bound. We give a reduction to show that the same lower bound applies to a parenthesis matching problem, again matching the previously known upper bound. We also give reductions to show that similar lower bounds hold for the prefix maxima and the range maxima problems.