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FOCS
1998
IEEE
13 years 9 months ago
Approximating a Finite Metric by a Small Number of Tree Metrics
Moses Charikar, Chandra Chekuri, Ashish Goel, Sudi...
CCCG
2007
13 years 6 months ago
Approximating k-hop Minimum Spanning Trees in Euclidean Metrics
In the minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r ∈ S. We are intere...
Sören Laue, Domagoj Matijevic
SIROCCO
2004
13 years 6 months ago
The Range Assignment Problem in Static Ad-Hoc Networks on Metric Spaces
In this paper we study the range assignment problem in static ad-hoc networks on metric spaces. We consider the h-strong connectivity and h-broadcast problems on trees, high dimens...
Deshi Ye, Hu Zhang
APPML
2002
76views more  APPML 2002»
13 years 5 months ago
Proper gromov transforms of metrics are metrics
In phylogenetic analysis, a standard problem is to approximate a given metric by an additive metric. Here it is shown that, given a metric D defined on some finite set X and a non...
Andreas W. M. Dress
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
13 years 11 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari