CORR
2002
Springer
13 years 4 months ago
2002
Springer
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...
COMBINATORICS
2006
13 years 4 months ago
2006
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...
CLASSIFICATION
2008
13 years 4 months ago
2008
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...
SODA
2004
ACM
13 years 5 months ago
2004
ACM
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...
SODA
2010
ACM
14 years 1 months ago
2010
ACM
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...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
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...