2005 International Conference on Analysis of Algorithms
Conrado Martínez (ed.)
DMTCS Conference Volume AD (2005), pp. 353356
author:  Amr Elmasry 

title:  Distributionsensitive set multipartitioning 
keywords:  algorithm analysis and design; distributionsensitive algorithms; outputsensitive algorithms; lower bounds 
abstract: 
Given a set
S
with realvalued members, associated with each member
one of two possible types; a multipartitioning 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 multipartitioning of
S
. We give two distributionsensitive algorithms for
the set multipartitioning problem and a matching lower
bound in the algebraic decisiontree model. One of the two
algorithms can be made stable and can be implemented in
place. We also give an outputsensitive algorithm for the
problem.

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reference:  Amr Elmasry (2005), Distributionsensitive set multipartitioning, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 353356 
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