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On the parallel evaluation of classes of circuits

  • S. Rao Kosaraju
Invited Paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 472)

Abstract

We treat the problem of parallel evaluation of two important classes of circuits: polynomial degree circuits, and leveled monotone planar circuits. We show that if the operators form a non-commutative semi-ring, then there exists a circuit of degree 0(n) and size 0(n) for which the minimum depth after any restructuring is n. We also establish that any leveled monotone planar boolean circuit of size n can be evaluated by poly(n) processors in 0(log3n) parallel time.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • S. Rao Kosaraju
    • 1
  1. 1.Department of Computer ScienceThe Johns Hopkins UniversityBaltimore

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