Abstract
Lower bounds are developed for the processor-time tradeoffs of machines such us linear arrays and two-dimensional meshes, which are compatible with the physical limitation on speed propagation of messages. It is shown that, under this limitation, parallelism and locality combined may yield speedups superlinear in the number of processors. The results are obtained by means of on a novel technique, called the “closed-dichotomy-size technique”, designed to obtain lower bounds to the computation time for networks of processors, each of which is equipped with a local hierarchical memory.
Supported in part by the ESPRIT III Basic Research Programme of the EC under contract No. 9072 (Project GEPPCOM), by the Italian Ministry of University and Research, and by Brown University.
Supported in part by NSF Grant CCR94-00232 and ONR Contract N 00014-91-J-4052, ARPA order 2225.
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© 1995 Springer-Verlag Berlin Heidelberg
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Bilardi, G., Preparata, F.P. (1995). Lower bounds to processor-time tradeoffs under bounded-speed message propagation. In: Akl, S.G., Dehne, F., Sack, JR., Santoro, N. (eds) Algorithms and Data Structures. WADS 1995. Lecture Notes in Computer Science, vol 955. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60220-8_46
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DOI: https://doi.org/10.1007/3-540-60220-8_46
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