Efficient communication in metacube: a new interconnection network

This paper introduces a new interconnection network for very large parallel computers called metacube (MC). An MC network has a 2-level cube structure. An MC(k,m) network connects 2(m2/sup k/+k) nodes with m + k links per node, where k is the dimension of a high-level cube and m is the dimension of low-level cubes (clusters). An MC network is a symmetric network with short diameter, easy and efficient routing similar to that of hypercubes. However, an MC network can connect more than one hundred of millions of nodes with only 6 links per node. Design of efficient routing algorithms for collective communications is the key issue for any interconnection network. In this paper we also show that total exchange (all-to-all personalized communication) can be done efficiently in metacube.