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DAM
2000
126views more  DAM 2000»
13 years 7 months ago
2-Medians in trees with pos/neg weights
This paper deals with facility location problems with pos=neg weights in trees. We consider two di erent objective functions which model two di erent ways to handle obnoxious faci...
Rainer E. Burkard, Eranda Çela, Helidon Dol...
COMPGEOM
2006
ACM
14 years 1 months ago
How to get close to the median shape
In this paper, we study the problem of L1-fitting a shape to a set of point, where the target is to minimize the sum of distances of the points to the shape, or alternatively the...
Sariel Har-Peled
ANOR
2008
69views more  ANOR 2008»
13 years 7 months ago
NP-hardness results for the aggregation of linear orders into median orders
Abstract Given a collection of individual preferences defined on a same finite set of candidates, we consider the problem of aggregating them into a collective preference minimizin...
Olivier Hudry
TCBB
2008
117views more  TCBB 2008»
13 years 7 months ago
Consensus Genetic Maps as Median Orders from Inconsistent Sources
A genetic map is an ordering of genetic markers calculated from a population of known lineage. Although, traditionally, a map has been generated from a single population for each s...
Benjamin G. Jackson, Patrick S. Schnable, Srinivas...
JMIV
2010
131views more  JMIV 2010»
13 years 6 months ago
An SL(2) Invariant Shape Median
Median averaging is a powerful averaging concept on sets of vector data in finite dimensions. A generalization of the median for shapes in the plane is introduced. The underlying ...
Benjamin Berkels, Gina Linkmann, Martin Rumpf