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» Lower Bounds for Approximation Algorithms for the Steiner Tr...
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STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 5 days 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...
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 1 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
SODA
2008
ACM
128views Algorithms» more  SODA 2008»
13 years 8 months ago
Analysis of greedy approximations with nonsubmodular potential functions
In this paper, we present two techniques to analyze greedy approximation with nonsubmodular functions restricted submodularity and shifted submodularity. As an application of the ...
Ding-Zhu Du, Ronald L. Graham, Panos M. Pardalos, ...
ENDM
2010
101views more  ENDM 2010»
13 years 7 months ago
Strong Lower Bounds for a Survivable Network Design Problem
We consider a generalization of the Prize Collecting Steiner Tree Problem on a graph with special redundancy requirements on a subset of the customer nodes suitable to model a rea...
Markus Leitner, Günther R. Raidl
WADS
2009
Springer
226views Algorithms» more  WADS 2009»
14 years 1 months ago
Online Priority Steiner Tree Problems
Abstract. A central issue in the design of modern communication networks is the provision of Quality-of-Service (QoS) guarantees at the presence of heterogeneous users. For instanc...
Spyros Angelopoulos