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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 1 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
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...
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
14 years 5 days 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 7 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 1 months 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...