New multihop lightwave network based on the generalized De-Bruijn graph

Lightwave networks can be built by embedding virtual topologies over physical topologies. The optical passive star enables such embeddings easily. The Shuffle-net and the De-Bruijn graph are two popular virtual topologies proposed in the past for lightwave networks. Both however suffer from the lack of flexibility in scaling network sizes. In this paper, we present a generalization of the De-Bruijn network which overcomes the limitation of the strict relationships between the network size parameters seen in the Shuffle-net and the De-Bruijn networks. A generalization for the Shuffle-net is also possible with this idea. We emphasize the support of Time and Wavelength Division Multiplexed media access protocols for such architectures and present several properties of the proposed network with respect to the same.