MPI-I-93-128
Maintaining dynamic sequences under equality-tests in polylogorithmic time
Mehlhorn, Kurt and Uhrig, Christian
July 1993, 17 pages.
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Status: available - back from printing
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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MPI-I-93-128.pdf
- Attachement: MPI-I-93-128.dvi.gz (25 KBytes); MPI-I-93-128.pdf (124 KBytes)
URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1993-128
BibTeX
@TECHREPORT{MehlhornUhrig93,
AUTHOR = {Mehlhorn, Kurt and Uhrig, Christian},
TITLE = {Maintaining dynamic sequences under equality-tests in polylogorithmic time},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-93-128},
MONTH = {July},
YEAR = {1993},
ISSN = {0946-011X},
}