Title

Embedding Multi-Dimensional Meshes Into Twisted Cubes

Document Type

Article

Publication Date

11-1-2010

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.

DOI

10.1016/j.compeleceng.2010.03.003

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