On embedding interconnection networks into rings of processors

  • Juraj Hromkovič
  • Vladimír Müller
  • Ondrej Sýkora
  • Imrich Vrťo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 605)


We prove exact results on dilations in cycles for important graphs corresponding to fundamental interconnection networks of parallel computers as complete trees, hypercubes and 2- and 3-dimensional meshes. Moreover we show that trees, X-trees, n-dimensional meshes, pyramides and trees of meshes have the same dilations both in the path and the cycle.


Assure Pyramid 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Juraj Hromkovič
    • 1
  • Vladimír Müller
    • 2
  • Ondrej Sýkora
    • 3
  • Imrich Vrťo
    • 3
  1. 1.Mathematik-Informatik Universität-GHPaderbornFRG
  2. 2.Institute of MathematicsCzechoslovak Academy of SciencesPragueCSFR
  3. 3.Institute for InformaticsSlovak Academy of SciencesBratislavaCSFR

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