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STACS
2009
Springer
15 years 6 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
JCO
2010
182views more  JCO 2010»
14 years 10 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 5 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
FOCS
2004
IEEE
15 years 3 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau
CSC
2009
15 years 20 days ago
An Empirical Analysis of Approximation Algorithms for Euclidean TSP
- The Traveling Salesman Problem (TSP) is perhaps the most famous optimization problem in the set NP-hard. Many problems that are natural applications in computer science and engin...
Bárbara Rodeker, M. Virginia Cifuentes, Lil...