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FOCS
1998
IEEE
15 years 2 months ago
Approximating a Finite Metric by a Small Number of Tree Metrics
Moses Charikar, Chandra Chekuri, Ashish Goel, Sudi...
95
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CCCG
2007
14 years 12 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
14 years 12 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»
14 years 10 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»
15 years 4 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