A Self-Routing Benes Network and Parallel Permutation Algorithms

A Benes permutation network capable of setting its own switches dynamically is presented. The total switch setting and delay time for the N input utput self-routing network is O(log N). It is shown that the network is capable of performing a rich class of permutations. The self-routing scheme leads to efficient O(log N) parallel algorithms to perform the same class of permutations on cube connected and perfect shuffle computers.