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  • 标题:The Randomized Complexity of Maintaining the Minimum
  • 本地全文:下载
  • 作者:Gerth Stølting Brodal ; Shiva Chaudhuri ; Jaikumar Radhakrishnan
  • 期刊名称:BRICS Report Series
  • 印刷版ISSN:0909-0878
  • 出版年度:1996
  • 卷号:3
  • 期号:40
  • 出版社:Aarhus University
  • 摘要:The complexity of maintaining a set under the operations Insert, Delete and FindMin is considered. In the comparison model it is shown that any randomized algorithm with expected amortized cost t comparisons per Insert and Delete has expected cost at least n/(e2^2t) − 1 comparisons for FindMin. If FindMin is replaced by a weaker operation, FindAny, then it is shown that a randomized algorithm with constant expected cost per operation exists; in contrast, it is shown that no deterministic algorithm can have constant cost per operation. Finally, a deterministic algorithm with constant amortized cost per operation for an offline version of the problem is given.
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