On Embedding Various Networks into the Hypercube Using Matrix Transformations
نویسندگان
چکیده
Various researchers have shown that the binary n-cube (or hypercube) can embed any r-ary m-cubes, having the same number of nodes, with dilation 1. Their construction method is primarily based on the reflected Gray code. We present a different embedding method based on matrix transformations' schemes that achieves the same results. In addition, this method has a nice property that makes it suitable to be used in divide-and-conquer algorithms. Thus, it constitutes a useful tool for the design of parallel algorithms for the hypercube.
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تاریخ انتشار 1996