Topological equivalence of optical crossover networks and modified data manipulator networks

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Abstract
The crossover network is a multistage interconnection network that shows potential for use in optical computing and photonic switching applications. In this paper, a proof of topological equivalence between the crossover network and the modified data manipulator network is presented. It is shown that the Gray Code can be used as the mapping function between the crossover network and a network which is equivalent to the modified data manipulator network. Given the results of this proof, the optical crossover network can then be proposed as the optical interconnection fabric for many switching and computing applications.

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