Laying Out Midimew Networks with Constant Dilation

Abst rac t . Midimew networks [1] are mesh-connected networks derived from a subset of degree-4 circulant graphs. They have minimum diameter and average distance among all degree-4 circulant graphs, and are better than some of the most common topologies for parallel computers in terms of various cost measures. Among the many midimew networks, the rectangular ones appear to be most suitable for practical implementation. Unfortunately, with the normal way of laying out these networks on a 2-D plane, long cross wires that grow with the size of the network appear. In this paper, we propose ways to embed rectangular midimew networks in a 2-D grid so that the length of the longest wire is at most a small constant.