Issue No. 02 - February (1994 vol. 43)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/12.262125
<p>Presents efficient algorithms for collecting information distributed among indistinguishable (anonymous) processors while performing certain operations on the information being collected. The efficiency objective is to minimize the communication-delay product and to obtain trade-offs between the two. The main contribution of the paper is a new efficient algorithm for performing sumlike operations (such as Abelian group operations and elementary symmetric functions) and the use of metrically regular graphs (which include the widely used hypercube interconnections) for information dissemination in distributed computations. The best algorithm has a communication-delay product of O(Nlog/sup 3/ N) (for W nodes), and obtaining an optimal /spl Omega/(Nlog/sup 2/N) algorithm remains an open problem.</p>
hypercube networks; distributed algorithms; message passing; regular networks; anonymous nodes; distributed computing; communication-delay product; trade-off; efficiency objective; sumlike operations; information dissemination; distributed computations; distributed algorithms; finite projective planes; hypercubes; message complexity; metrically regular graphs; sparse graphs.
T. Lakshman and V. Wei, "Distributed Computing on Regular Networks with Anonymous Nodes," in IEEE Transactions on Computers, vol. 43, no. , pp. 211-218, 1994.