Abstract: In order to obtain an N $MUL N Multistage Interconnection Network capable of passing all the N! permutations of N elements, at least (log$-2$/N - 1) supplementary stages must be added to the standard ones. In this paper we prove that the completeness property of such networks is preserved even if some switching element suffers from a stuck-at fault. The critical stage is the central one which must be set in a fixed configuration, depending on the desired permutation. This problem is easily overcome if one additional stage is included. Moreover, the static full access capability is preserved in a complete network because of the redundancy of source to destination paths.!17
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