A regular interconnection network

A regular interconnection network for large distributed systems which is indicated as R_n is presented, we call it R_n. This interconnection network is based on a mixed radix number system. The system topology is formed by complete graph product and consists of N = n! points, n(n-1)n!/4 lines and is regular of degree n(n-1)/2. The performance of such network is measured through an analysis of its degree, diameter, connectivity, fault tolerance, routing algorithm and reliability. A number of interesting properties of this network are revealed. Those include its average message distance which is approximately equal to (n-H_n), (H_n is the nth Harmonic number), the number of point disjoint paths (n(n-1)/2), and an attractive routing algorithm that is similar to Boolean hypercube. Finally, we show that it posseses super-λ property. The reliability of R_n can also be readily obtained.