An Efficient 3D Optical Implementation of Binary de Bruijn Networks with Applications to Massively Parallel Computing

As an alternative t o the hypercube, the binary d e Bruijn BdB network is recently receiving rithmic diameter, fault-tolerance, and simple routing but also requires fewer links than the hypercube for the same network size. Additionally, a major advantage of the BdB network is a constant node degree: the number of edges per node is independent of the network size. This makes it very desirable for large-scale parallel systems. However, due t o its asymmetrical nature and global connectivity at is posing a major challenge for VLSI technology. Optics, owing t o its threedimensional and global connectivity nature seems to be very suitable for implementing BdB networks. In this paper, we present an implementation methodology for optical BdB networks. The distinctive feature of the proposed implementation methodology is partitionability of the network into a f e w primitive operations that can be eficiently implemented. We further show feasibility of the presented design methodology by proposing an optical implementation of the BdB network. much attention. h L he dB not only provides a loga-