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» A branch and cut algorithm for the Steiner problem in graphs
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ESA
2007
Springer
118views Algorithms» more  ESA 2007»
14 years 12 days 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
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 11 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...
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
13 years 11 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...
STOC
2003
ACM
133views Algorithms» more  STOC 2003»
14 years 6 months ago
A fast algorithm for computing steiner edge connectivity
Given an undirected graph or an Eulerian directed graph G and a subset S of its vertices, we show how to determine the edge connectivity C of the vertices in S in time O(C3 n log ...
Richard Cole, Ramesh Hariharan
COCOA
2009
Springer
14 years 25 days ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...