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ESA
2007
Springer
118views Algorithms» more  ESA 2007»
13 years 11 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
SODA
2012
ACM
225views Algorithms» more  SODA 2012»
11 years 7 months ago
Approximating rooted Steiner networks
The Directed Steiner Tree (DST) problem is a cornerstone problem in network design. We focus on the generalization of the problem with higher connectivity requirements. The proble...
Joseph Cheriyan, Bundit Laekhanukit, Guyslain Nave...
APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
13 years 9 months ago
Approximating node connectivity problems via set covers
Given a graph (directed or undirected) with costs on the edges, and an integer k, we consider the problem of nding a k-node connected spanning subgraph of minimum cost. For the ge...
Guy Kortsarz, Zeev Nutov
STOC
2003
ACM
133views Algorithms» more  STOC 2003»
14 years 5 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
FOCS
1999
IEEE
13 years 9 months ago
The Directed Steiner Network Problem is Tractable for a Constant Number of Terminals
We consider the DIRECTED STEINER NETWORK problem, also called the POINT-TO-POINT CONNECTION problem, where given a directed graph G and p pairs {(s1,t1),...,(sp,tp)} of nodes in t...
Jon Feldman, Matthias Ruhl