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Transforming comparison model lower bounds to the parallel-random-access-machine

We provide general transformations of lower bounds in Valiant's parallel-comparison-decision-tree model to lower bounds in the priority concurrent-read concurrent-write parallel-random-access-machine model. The proofs rely on standard Ramsey-theoretic arguments that simplify the structure of th...

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Bibliographic Details
Published in:Information processing letters 1997-04, Vol.62 (2), p.103-110
Main Authors: Breslauer, Dany, Czumaj, Artur, Dubhashi, Devdatt P., der Heide, Friedhelm Meyer auf
Format: Article
Language:English
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Summary:We provide general transformations of lower bounds in Valiant's parallel-comparison-decision-tree model to lower bounds in the priority concurrent-read concurrent-write parallel-random-access-machine model. The proofs rely on standard Ramsey-theoretic arguments that simplify the structure of the computation by restricting the input domain. The transformation of comparison model lower bounds, which are usually easier to obtain, to the parallel-random-access-machine, unifies some known lower bounds and gives new lower bounds for several problems.
ISSN:0020-0190
1872-6119
DOI:10.1016/S0020-0190(97)00032-X