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» Approximating rooted Steiner networks
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SODA
2004
ACM
151views Algorithms» more  SODA 2004»
13 years 11 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
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 3 months ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky
APPROX
2008
Springer
134views Algorithms» more  APPROX 2008»
14 years 11 days ago
Inapproximability of Survivable Networks
In the Survivable Network Design Problem (SNDP) one seeks to find a minimum cost subgraph that satisfies prescribed node-connectivity requirements. We give a novel approximation r...
Yuval Lando, Zeev Nutov
ESA
2007
Springer
118views Algorithms» more  ESA 2007»
14 years 4 months ago
A New ILP Formulation for 2-Root-Connected Prize-Collecting Steiner Networks
We consider the real-world problem of extending a given infrastructure network in order to connect new customers. By representing the infrastructure by a single root node, this pro...
Markus Chimani, Maria Kandyba, Petra Mutzel
CCCG
2007
13 years 11 months ago
Terminal Steiner Tree with Bounded Edge Length
In this paper, we study a Steiner tree related problem called “Terminal Steiner Tree with Bounded Edge Length”: given a set of terminal points P in a plane, one is asked to ...
Zhiyong Lin