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Optimal layouts of the tree of meshes with vertices on the perimeter of the bounding convex region

  • O. Sýkora
  • I. Vrto
Contibuted Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 166)

Abstract

The lower bound for the minimal bisection width of the tree of meshes with respect to all vertices (w.r.t. all leaves) is determined in both cases. On the basis of these results the lower bounds of layout area with all vertices (leaves) on the perimeter of the bounding convex region, which coincide with upper bounds, are stated.

Keywords

Planar Graph Factor Graph Optimal Layout Convex Region Complete Binary Tree 
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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References

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    Valiant, L.G.: Universality considerations in VLSI circuits. IEEE Transactions on Computers, Vol. C-30, No. 2, Feb. 1981, pp. 135–140.Google Scholar
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    Leighton, F.T.: New lower bound techniques for VLSI. Proc. of the 22-nd Annual IEEE Symp. on Found. of CS, 1981, pp. 1–12.Google Scholar
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    Thompson, C.D.: A complexity theory for VLSI. CMU-CS-80-140, Carnegie — Mellon University, 1980.Google Scholar
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    Garey, M.R., Johnson, D.S., Stockmeyer, L.: Some simplified polynomial complete problems. SIGACT, 1974, pp. 47–63.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • O. Sýkora
    • 1
  • I. Vrto
    • 1
  1. 1.Institute of Technical CyberneticsSlovak Academy of SciencesBratislavaCzechoslovakia

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