Efficient algorithms for global data communication on the multidimensional torus network

Efficient interprocessor communication is crucial to increasing the performance of parallel multiprocessors. In this paper, a special framework is developed on the multidimensional torus, a network that is currently receiving considerable attention. Using this framework as the basic tool, or spanning graph with special properties, to fit various communication needs, is constructed on the network. The importance of this graph is demonstrated with the development of optimal algorithms for three fundamental communication problems, namely the multinode broadcasting and the single-node and multinode scattering under the store-and-forward, all-port communication model