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CORR
2002
Springer
95views Education» more  CORR 2002»
8 years 9 months ago
Qualitative Visualization of Distance Information
Different types of two- and three-dimensional representations of a finite metric space are studied that focus on the accurate representation of the linear order among the distance...
Jobst Heitzig
COMBINATORICS
2006
147views more  COMBINATORICS 2006»
8 years 9 months ago
A Survey on Packing and Covering Problems in the Hamming Permutation Space
Consider the symmetric group Sn equipped with the Hamming metric dH . Packing and covering problems in the finite metric space (Sn, dH ) are surveyed, including a combination of b...
Jörn Quistorff
CLASSIFICATION
2008
68views more  CLASSIFICATION 2008»
8 years 9 months ago
The Metric Cutpoint Partition Problem
Let G = (V, E, w) be a graph with vertex and edge sets V and E, respectively, and w : E IR+ a function which assigns a positive weight or length to each edge of G. G is called a r...
Alain Hertz, Sacha Varone
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
8 years 10 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
SODA
2010
ACM
167views Algorithms» more  SODA 2010»
9 years 6 months ago
Inapproximability for planar embedding problems
We consider the problem of computing a minimumdistortion bijection between two point-sets in R2 . We prove the first non-trivial inapproximability result for this problem, for the...
Jeff Edmonds, Anastasios Sidiropoulos, Anastasios ...
STOC
2003
ACM
102views Algorithms» more  STOC 2003»
9 years 9 months ago
On metric ramsey-type phenomena
The main question studied in this article may be viewed as a nonlinear analogue of Dvoretzky's theorem in Banach space theory or as part of Ramsey theory in combinatorics. Gi...
Yair Bartal, Nathan Linial, Manor Mendel, Assaf Na...
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