| author: | Amr Elmasry |
|---|---|
| title: | Distribution-sensitive set multi-partitioning |
| keywords: | algorithm analysis and design; distribution-sensitive algorithms; output-sensitive algorithms; lower bounds |
| abstract: |
Given a set
S
with real-valued members, associated with each member
one of two possible types; a multi-partitioning of
S
is a sequence of the members of
S
such that if
x,y ∈S
have different types and
x<y
,
x
precedes
y
in the multi-partitioning of
S
. We give two distribution-sensitive algorithms for
the set multi-partitioning problem and a matching lower
bound in the algebraic decision-tree model. One of the two
algorithms can be made stable and can be implemented in
place. We also give an output-sensitive algorithm for the
problem.
|
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| reference: | Amr Elmasry (2005), Distribution-sensitive set multi-partitioning, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 353-356 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| ps-source: | dmAD0132.ps (129 K) |
| pdf-source: | dmAD0132.pdf (70 K) |
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