A parallel algorithm for reconfiguring a multibutterfly network with faulty switches

This paper describes a deterministic algorithm for reconfiguring a multibutterfly network with faulty switches. Unlike previous reconfiguration algorithms, the algorithm is performed entirely by the network, without the aid of any off-line computation, even though many of the switches may be faulty. The algorithm reconfigures an N-input multibutterfly network in O(logN) time. After reconfiguration, the multibutterfly can tolerate f worst-case faults and still route any permutation between some set of N-O(f) inputs and N-O(f) outputs in O(log N) time