Prove that this network is non-blocking

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Reference no: EM131086085

In Figure 1.4, observe that the paths from input 000 to output 111 and from input 101 to output 110 have a common edge. Therefore, simultaneous transmission over these paths is not possible; one path blocks another. Hence, the Omega and Butterfly networks are classified as blocking interconnection networks.

Let Π (n) be any permutation on {0 . . .n-1}, mapping the input domain to the output range. A non-blocking interconnection network allows simultaneous transmission from the inputs to the outputs for any permutation.

Consider the network built as follows. Take the image of a butterfly in a vertical mirror, and append this mirror image to the output of a butterfly. Hence, for n inputs and outputs, there will be 2log2n stages. Prove that this network is non-blocking.

Reference no: EM131086085

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