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Abstract:
Two improved list-ranking algorithms are presented. The
``peeling-off'' algorithm leads to an optimal PRAM algorithm, but
was designed with application on a real parallel machine in mind.
It is simpler than earlier algorithms, and in a range of problem
sizes, where previously several algorithms where required for the
best performance, now this single algorithm suffices. If the problem
size is much larger than the number of available processors, then the
``sparse-ruling-sets'' algorithm is even better. In previous
versions this algorithm had very restricted practical application
because of the large number of communication rounds it was
performing. This main weakness of this algorithm is overcome by
adding two new ideas, each of which reduces the number of
communication rounds by a factor of two.
