Area Complexity of Multilective Merging

  • Pavel Ferianc
  • Ondrej Sýkora
Part of the Lecture Notes in Computer Science book series (LNCS, volume 506)


Lower bounds on the area A(n,m,k,r) required for merging of two sorted sequences of k-bit numbers with length n and m respectively, when the inputs can be replicated up to r times (rn), are given:
$$A(n,m,k,r) = \left\{ {\begin{array}{*{20}{c}} {\Omega \left( {\frac{n}{r}} \right) for {2^k} \geqslant \frac{n}{r} and n \geqslant m \geqslant \frac{n}{r}} \\ {\Omega (m((\log \frac{{{2^k}}}{m}) + 1)) for {2^{\frac{3}{8}k}} \geqslant \frac{n}{r} and \frac{n}{r} \geqslant m} \\ {\Omega (m((\log \frac{{{2^k}}}{m}) + 1))for\frac{n}{r} \geqslant m and \frac{n}{r} \geqslant {2^{\frac{3}{8}k}} and {2^{(\frac{{3.({8^K}) - 1}}{{{3^{K + 1}} - 1}})}} \geqslant m} \end{array}} \right.$$


Circuit State Area Complexity F233 Versus Determinate Schedule Tight Lower Bound 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Pavel Ferianc
    • 1
  • Ondrej Sýkora
    • 1
  1. 1.Computing CentreSlovak Academy of SciencesBratislavaCzecho-Slovakia

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