Embedding multi-dimensional meshes into twisted cubes

作者:Dong Qiang*; Yang Xiaofan; Wang Dajin
来源:Computers & Electrical Engineering, 2010, 36(6): 1021-1026.
DOI:10.1016/j.compeleceng.2010.03.003

摘要

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.