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An O[n 3/z 3] Reduction Procedure for Determining the Maximum Degree of Parallelism in Parallel Applications

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Parallel Computing Technologies (PaCT 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2127))

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Abstract

In the present work, fine-grain parallel applications of a wide class to be executed on distributed-memory multiprocessors are investigated. The problem of determining the maximum degree of parallelism in the control flow of such applications is under consideration. An efficient procedure (called R-procedure) for solving the indicated problem is introduced and stated. The procedure operates on a control flow graph of an application, and it provides fast calculation of the parallelism degree through the technique of reduction of the control flow graph. The R-procedure is shown to have the time complexity of at most O[n 3/z 3], with n and z standing for the number of processes in the application and parallelism degree, respectively.

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© 2001 Springer-Verlag Berlin Heidelberg

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Zotov, I.V., Titov, V.S. (2001). An O[n 3/z 3] Reduction Procedure for Determining the Maximum Degree of Parallelism in Parallel Applications. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2001. Lecture Notes in Computer Science, vol 2127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44743-1_14

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  • DOI: https://doi.org/10.1007/3-540-44743-1_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42522-9

  • Online ISBN: 978-3-540-44743-6

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