New degree four networks: properties and performance

Two-dimensional tori, or its variants such as the midimew networks, are the most popular degree-four interconnection networks. However, the number of nodes interconnected by two-dimensional tori or the midimew networks grows as a square of their diameters. The authors discuss two different types of degree-four interconnection networks, the starcake networks and the k-ary 2-cliques. These graphs are regular, vertex-symmetric, maximally fault-tolerant and have a better diameter than the popular degree-four networks. They discuss the construction and routing of these networks and compare them with other interconnection networks. A preliminary performance comparison indicates that the proposed networks offer better throughput-delay characteristics than tori and midimew networks.<>