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» Hardness and Approximation of Octilinear Steiner Trees
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STOC
2010
ACM
261views Algorithms» more  STOC 2010»
13 years 10 months ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...
FSTTCS
2003
Springer
13 years 11 months ago
On the Covering Steiner Problem
The Covering Steiner problem is a common generalization of the k-MST and Group Steiner problems. An instance of the Covering Steiner problem consists of an undirected graph with ed...
Anupam Gupta, Aravind Srinivasan
INFOCOM
2009
IEEE
14 years 8 days ago
Hardness and Approximation of the Survivable Multi-Level Fat Tree Problem
—With the explosive deployment of “triple play” (voice, video and data services) over the same access network, guaranteeing a certain-level of survivability for the access ne...
Hung Q. Ngo, Thanh-Nhan Nguyen, Dahai Xu
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 11 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 10 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...