David A. Bader
IEEE Fellow
AAAS Fellow
College of Computing
Georgia Tech
Atlanta, GA 30332



Practical Parallel Algorithms for Personalized Communication and Integer Sorting

A fundamental challenge for parallel computing is to obtain high-level, architecture independent, algorithms which efficiently execute on general-purpose parallel machines. With the emergence of message passing standards such as MPI, it has become easier to design efficient and portable parallel algorithms by making use of these communication primitives. While existing primitives allow an assortment of collective communication routines, they do not handle an important communication event when most or all processors have non-uniformly sized personalized messages to exchange with each other. We focus in this paper on the h-relation personalized communication whose efficient implementation will allow high performance implementations of a large class of algorithms. While most previous h-relation algorithms use randomization, this paper presents a new deterministic approach for h-relation personalized communication with asymptoticaly optimal complexity for h >= p^2. As an application, we present an efficient algorithm for stable integer sorting.

The algorithms presented in this paper have been coded in Split-C and run on a variety of platforms, including the Thinking Machines CM-5, IBM SP-1 and SP-2, Cray Research T3D, Meiko Scientific CS-2, and the Intel Paragon. Our experimental results are consistent with the theoretical analysis and illustrate the scalability and efficiency of our algorithms across different platforms. In fact, they seem to outperform all similar algorithms known to the authors on these platforms.

Publication History

Versions of this paper appeared as:
  1. University of Maryland CS-TR-3548, UMIACS-TR-95-101
  2. D. A. Bader, D. R. Helman, and J. JáJá . `` Practical Parallel Algorithms for Personalized Communication and Integer Sorting,'' ACM Journal of Experimental Algorithmics, 1(3):1-42, 1996.

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Last updated: July 25, 2004


Computational Biology

Parallel Computing