A new interconnection network for parallel computer with low diameter

In this paper, we propose and analyze the new interconnection network for parallel computer, called graycube. The graycube has the same number of nodes and edges as hypercube, but it's diameter is about one half of the equivalent hypercube. It has simple recursive structure, routing and broadcasting algorithms. Since hypercube can be embedded into graycube with dialation 2, algorithms developed based on hypercube are easily simulated in graycube. The basic properties, routing and broadcasting algorithms, and hypercube embedding are presented.