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» Algorithms for Terminal Steiner Trees
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CATS
2007
13 years 6 months ago
Some Structural and Geometric Properties of Two-Connected Steiner Networks
We consider the problem of constructing a shortest Euclidean 2-connected Steiner network (SMN) for a set of terminals. This problem has natural applications in the design of survi...
K. Hvam, L. Reinhardt, Pawel Winter, Martin Zachar...
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
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
13 years 9 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...
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 3 months ago
Perfect Omniscience, Perfect Secrecy and Steiner Tree Packing
— We consider perfect secret key generation for a “pairwise independent network” model in which every pair of terminals share a random binary string, with the strings shared ...
Sirin Nitinawarat, Prakash Narayan
APPROX
2006
Springer
106views Algorithms» more  APPROX 2006»
13 years 8 months ago
A Tight Lower Bound for the Steiner Point Removal Problem on Trees
Gupta (SODA'01) considered the Steiner Point Removal (SPR) problem on trees. Given an edge-weighted tree T and a subset S of vertices called terminals in the tree, find an edg...
Hubert T.-H. Chan, Donglin Xia, Goran Konjevod, An...