Order Preserving Communication on a Star Network

Abstract We present a scheme for ordering nodes in a star network such that it requires only a constant time for communication between a pair of nodes of the same rank in different sub-stars. This enables us to implement order preserving ASCEND/DESCEND type of divide and conquer algorithms such as the Fast Fourier Transform (FFT) efficiently on the star network. We also present a scheme to model a star network as a pipeline of sub-stars. This gives us a convenient framework for implementation of pipelined computations on a star network.