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» On the Approximability of the Steiner Tree Problem
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ICCAD
1999
IEEE
181views Hardware» more  ICCAD 1999»
13 years 12 months ago
A new heuristic for rectilinear Steiner trees
The minimum rectilinear Steiner tree (RST) problem is one of the fundamental problems in the field of electronic design automation. The problem is NP-hard, and much work has been ...
Ion I. Mandoiu, Vijay V. Vazirani, Joseph L. Ganle...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 12 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...
CATS
2007
13 years 9 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...
SODA
2004
ACM
151views Algorithms» more  SODA 2004»
13 years 9 months ago
Minimum moment Steiner trees
For a rectilinear Steiner tree T with a root, define its k-th moment Mk(T) = T (dT (u))k du, where the integration is over all edges of T, dT (u) is the length of the unique path ...
Wangqi Qiu, Weiping Shi