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Embedding multi-dimensional meshes into twisted cubes

Published: 01 November 2010 Publication History

Abstract

The twisted cube is an important variant of the most popular hypercube network for parallel processing. In this paper, we consider the problem of embedding multi-dimensional meshes into twisted cubes in a systematic way. We present a recursive method for embedding a family of disjoint multi-dimensional meshes into a twisted cube with dilation 1 and expansion 1. We also prove that a single multi-dimensional mesh can be embedded into a twisted cube with dilation 2 and expansion 1. Our work extends some previously known results.

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Published In

cover image Computers and Electrical Engineering
Computers and Electrical Engineering  Volume 36, Issue 6
November, 2010
185 pages

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Pergamon Press, Inc.

United States

Publication History

Published: 01 November 2010

Author Tags

  1. Graph embedding
  2. Interconnection networks
  3. Mesh
  4. Parallel processing
  5. Twisted cube

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