A Combinatorial Problem Concerning Processor Interconnection Networks
O'Donnell, Smith · IEEE Transactions on Computers · 1982
The augmented data manipulator (ADM) [5] has been proposed as an interconnection scheme for microprocessors. In this note we show how the number of permutations achieved by the last stage of an n-node ADM may be derived from a Fibonacci series. This result was used in [1] to analyze the total number of permutations achieved by an entire ADM.