DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 353-356

DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 353-356


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
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