Abstract
We consider the problem of embedding perfect shuffle and shuffle exchange networks in hypercubes. We prove that perfect embedding is possible for perfect shuffle with 2 k nodes only when k is a power of 2, and we give an efficient algorithm for embedding perfect shuffle networks with 2 k nodes when k is a power of 2. We also discuss a scheme for embedding shuffle exchange networks with 2 k nodes, k being a power of 2, and give its extensions to the general case.
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