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  The randomized complexity of maintaining the minimum

Brodal, G. S., Chaudhuri, S., & Radhakrishnan, J.(1996). The randomized complexity of maintaining the minimum (MPI-I-1996-1-014). Saarbrücken: Max-Planck-Institut für Informatik.

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MPI-I-96-1-014.pdf (Any fulltext), 212KB
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Brodal, Gerth Stølting1, Author              
Chaudhuri, Shiva1, Author              
Radhakrishnan, Jaikumar2, Author
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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 Abstract: The complexity of maintaining a set under the operations {\sf Insert}, {\sf Delete} and {\sf FindMin} is considered. In the comparison model it is shown that any randomized algorithm with expected amortized cost $t$ comparisons per {\sf Insert} and {\sf Delete} has expected cost at least $n/(e2^{2t})-1$ comparisons for {\sf FindMin}. If {\sf FindMin} 474 is replaced by a weaker operation, {\sf FindAny}, then it is shown that a randomized algorithm with constant expected cost per operation exists, but no deterministic algorithm. Finally, a deterministic algorithm with constant amortized cost per operation for an offline version of the problem is given.

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Language(s): eng - English
 Dates: 1996
 Publication Status: Published in print
 Pages: 12 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Rev. Type: -
 Identifiers: Report Nr.: MPI-I-1996-1-014
BibTex Citekey: BrodalChaudhuriRadhakrishnan96
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Title: Research Report / Max-Planck-Institut für Informatik
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