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Optimal mapping of neighbourhood-constrained systems

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Parallel Algorithms for Irregularly Structured Problems (IRREGULAR 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 980))

Abstract

The problem of finding the minimum topology of multiprocessing substrates supporting parallel execution of any given neighbourhood-constrained system is proposed and possible optimal strategies are investigated based on the relationship between Barbosa's scheduling by edge reversal — SER — distributed algorithm and the minimum clique covering problem. It is shown that from any given clique covering of length λ on a graph G, it is possible to obtain a SER trailer dynamics in G's complement that cover G upon λ evolutions. It also shown that, conversely, from any given SER dynamics on G in which all of its nodes operate at least once upon λ steps, a clique covering of length at most λ is defined on G's complement. In addition, a conjecture correlating the length of any minimum clique covering and optimal concurrency in SER- driven systems is stablished.

This work was partially supported by CNPq, CAPES and FAPERJ, Brazilian research agencies.

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References

  1. Barbosa, V.C. (1993). Massively Parallel Models of Computation, Ellis Horwood, Chichester, UK.

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  4. Gafni, E.M. and Bertsekas, D.P. (1981). “Distributed algorithms for generating loop-free routes in networks with frequently changing topology”, IEEE Transactions on Communications, pp. 11–18, COM-29, no. 1.

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Author information

Authors and Affiliations

  1. COPPE Sistemas e Computação, Universidade Federal do Rio de Janeiro, Brazil

    Felipe M. G. França

  2. Faculdade de Formação de Professores, Universidade Estadual do Rio de Janeiro, Brazil

    Luerbio Faria

Authors
  1. Felipe M. G. França
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  2. Luerbio Faria
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Editor information

Afonso Ferreira José Rolim

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© 1995 Springer-Verlag Berlin Heidelberg

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França, F.M.G., Faria, L. (1995). Optimal mapping of neighbourhood-constrained systems. In: Ferreira, A., Rolim, J. (eds) Parallel Algorithms for Irregularly Structured Problems. IRREGULAR 1995. Lecture Notes in Computer Science, vol 980. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60321-2_14

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  • DOI: https://doi.org/10.1007/3-540-60321-2_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60321-4

  • Online ISBN: 978-3-540-44915-7

  • eBook Packages: Springer Book Archive

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