On Cost-Optimal Merge of Two Intransitive Sorted Sequences

  • Authors:
  • Jie Wu;Stephan Olariu

  • Affiliations:
  • -;-

  • Venue:
  • IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
  • Year:
  • 2002

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Abstract

We consider the problem of merging two intransitive sorted sequences, that is, to generate a sorted total order without the transitive property. A parallel merging algorithm is proposed under the EREW PRAM model. This algorithm has a run time of O(log2 n) using O(n/ log2 n) processors (i.e., this algorithm is costoptimal). Design an algorithm that is cost-optimal in the strong sense is still an open problem.