Topology-Based Hypercube Structures for Global Communication in Heterogeneous Networks1

Hypercube structures are heavily used by parallel algorithms that require all-to-all communication. When communicating over a heterogeneous network, which may be the case in NOWs or GRID environments, the performance obtained by the hypercube structure will depend on the matching of the hypercube structure to the topology of the underlying network. In this paper, we present strategies to build topology-based hypercubes structures. These strategies do not assume any kind of topology, and take into account the communication cost between pair of nodes to provide a performance-efficient hypercube structure. These enhanced hypercube structures help improve the performance of parallel applications that require all-toall communication in heterogeneous networks.