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This paper introduces a new class of fault-tolerant multistage interconnection networks, dubbed as Extra Group Networks (EGNs). An EGN-<italic>m</italic> of size <italic>N</italic> is designed to have <italic>m</italic> + 1 unique path multistage networks of size <italic>N/m</italic>. This approach of constructing the network allows that an EGN-<italic>m</italic> can provide “full access” capability in the presence of multiple faults, up to <italic>m</italic>, in any stage. EGNs can also maintain the permutation capability of the unique path multistage network of size <italic>N</italic> in the presence of any single fault. We show that EGNs are most cost-effective than other previously proposed fault-tolerant multistage interconnection networks with a similar fault-tolerant capability.

Extra group network: a cost-effective fault-tolerant multistage interconnection network