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  • 标题:The Complexity of Computing the k-ary Composition of a Binary Associative Operator
  • 本地全文:下载
  • 作者:Gerth Stølting Brodal ; Sven Skyum
  • 期刊名称:BRICS Report Series
  • 印刷版ISSN:0909-0878
  • 出版年度:1996
  • 卷号:3
  • 期号:42
  • 出版社:Aarhus University
  • 摘要:We show that the problem of computing all contiguous k-ary compositions of a sequence of n values under an associative and commutative operator requires 3(k−1)/ (k+1)n − O(k) operations. For the operator max we show in contrast that in the decision tree model the complexity is (1+ Theta(1/sqrt(k)) n − O(k). Finally we show that the complexity of the corresponding on-line problem for the operator max is (2 − 1/(k−1)) n − O(k).
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