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Design methodology for three-dimensional space-invariant hypercube networks with graph bipartitioning

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Abstract

We present a new design methodology for constructing three-dimensional space-invariant hypercube interconnection networks. The methodology is based on a graph bipartitioning technique and permits the construction of larger hypercube networks from smaller networks in a systematic and incremental fashion. Owing to their totally space-invariant nature, the resulting three-dimensional hypercube networks are amenable to optical implementations with simple optical hardware such as multiple imaging components and space-invariant holographic techniques.

© 1993 Optical Society of America

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