CORR
2002
Springer
14 years 8 days 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
14 years 15 days 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
14 years 16 days 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
14 years 1 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 9 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
15 years 22 days 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...