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has n inputs and m outputs. The middle stage has m switches, each of which has r inputs and r outputs. The egress stage has r switches, each of which has m inputs and n outputs.

Blocking characteristics

The relative values of m and n define the blocking characteristics of the Clos network.

Strict-sense nonblocking Clos networks (m ≥ 2n−1): the original 1953 Clos result

If m >= 2n−1, the Clos network is strict-sense nonblocking, meaning that an unused input on an ingress switch can always

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