All-port total exchange in cartesian product networks
(EN)
Dimakopoulos, V. V.
(EN)
Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικής
(EL)
Dimakopoulos, V. V.
(EN)
We present a general solution to the total exchange (TE) communication problem for any homogeneous multidimensional network under the all-port assumption. More specifically, we consider cartesian product networks where every dimension is the same graph (e.g. hypercubes, square meshes, n-ary d-cubes) and where each node is able to communicate simultaneously with all its neighbors. We show that if we are given an algorithm for a single n-node dimension which requires T steps, we can construct an algorithm for d-dimensions and running time of n(d-1)T steps, which is provably optimal for many popular topologies. Our scheme, in effect, generalizes the TE algorithm given by Bertsekas et al. (J. Parallel Distrib. Comput. 11 (1991) 263-275) for the hypercubes and complements our theory (IEEE Trans. Parallel Distrib. Systems 9(7) (1998) 639) for the single-port model. (C) 2004 Elsevier Inc. All rights reserved.
(EN)
