ON THE REARRANGEABILITY OF SHUFFLE-EXCHANGE NETWORKS

Let be the minimum positive integer so that the Shuffle-Exchange network with stages, inputs and outputs is rearrangeable. Beneš conjectured that . The best bounds known so far are . In this paper, we verify Beneš conjecture for , and use this result to show that . The case is considerably more complex than the case, which have been done in the literature. We believe that hidden in our proof there is some general technique that would help improve the bound further.