Communications of the ACM - Special section on computer architecture
IEEE Transactions on Computers
Topological Properties of Hypercubes
IEEE Transactions on Computers
Spanning balanced trees in Boolean cubes
SIAM Journal on Scientific and Statistical Computing
Optimum Broadcasting and Personalized Communication in Hypercubes
IEEE Transactions on Computers
Hierarchical Interconnection Networks for Multicomputer Systems
IEEE Transactions on Computers
Intensive hypercube communication. Prearranged communication in link-bound machines
Journal of Parallel and Distributed Computing
Optimal communication primitives and graph embeddings on hypercubes
Optimal communication primitives and graph embeddings on hypercubes
Hi-index | 0.00 |
Incomplete hypercubes are gaining increasing attention as one of the possible solutions for the limitation on the number of nodes in the hypercubes. Distributing, in which one node sends distinct messages to distinct nodes, and its reverse operation are frequently used operations on data parallel computation. In this paper, we propose two types of spanning trees in incomplete hypercubes (composed of an n-cube and a k-cube): the binomial hierarchical spanning tree-binomial HST, and the balanced hierarchical spanning tree-balanced HST, for distributing (and its reverse operation). Distributing algorithms based on a balanced HST take better advantage of overlap between communication ports, or have speedup up to k/2 or n/2 over that based on the binomial HST when concurrently communication on all ports are possible, from the view point of communication complexity. An algorithm to construct hierarchical spanning trees in general incomplete hypercubes, which consist of an arbitrary number of nodes, is also devised.