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  Maintaining dynamic sequences under equality-tests in polylogorithmic time

Mehlhorn, K., & Uhrig, C.(1993). Maintaining dynamic sequences under equality-tests in polylogorithmic time (MPI-I-93-128). Saarbrücken: Max-Planck-Institut für Informatik.

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MPI-I-93-128.pdf (Any fulltext), 124KB
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 Creators:
Mehlhorn, Kurt1, Author           
Uhrig, Christian1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We present a randomized and a deterministic data structure for maintaining a dynamic family of sequences under equality--tests of pairs of sequences and creations of new sequences by joining or splitting existing sequences. Both data structures support equality--tests in $O(1)$ time. The randomized version supports new sequence creations in $O(\log^2 n)$ expected time where $n$ is the length of the sequence created. The deterministic solution supports sequence creations in $O(\log n(\log m \log^* m + \log n))$ time for the $m$--th operation.

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Language(s): eng - English
 Dates: 1993
 Publication Status: Issued
 Pages: 17 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-93-128
BibTex Citekey: MehlhornUhrig93
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Title: Research Report / Max-Planck-Institut für Informatik
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