ShuffleNet=hypercube×ring and embedding ShuffleNet on mesh network

ShuffleNet as an optical connectivity has been proposed extensively for use in the implementation of high-throughput multihop lightwave networks. A ShuffleNet uses a small, fixed number of transceivers per network access node and provides nearly optimal throughput. However, building multihop networks using ShuffleNets requires either a large number of fibers or a large number of wavelengths. We for the first time show that topologically a ShuffleNet is the multiplication of hypercube and ring, similar to cube-connected-cycle (CCC). This finding relates ShuffleNet to the well-understood hypercube and enables us to embed ShuffleNet on mesh network using a small number of fiber buses and an even smaller number of wavelengths. This architecture provides the practicality for implementation. For example, with two transceivers per node, a 384-node ShuffleNet uses 96 fiber buses and 6 wavelengths. We conclude that the WDM mesh-based ShuffleNet is suited for high-speed local-area or metropolitan-area networks