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» Minimum cut bases in undirected networks
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STOC
1999
ACM
125views Algorithms» more  STOC 1999»
13 years 9 months ago
Rounding Algorithms for a Geometric Embedding of Minimum Multiway Cut
Given an undirected graph with edge costs and a subset of k ≥ 3 nodes called terminals, a multiway, or k-way, cut is a subset of the edges whose removal disconnects each termina...
David R. Karger, Philip N. Klein, Clifford Stein, ...
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
COCOA
2008
Springer
13 years 7 months ago
Strong Formulations for 2-Node-Connected Steiner Network Problems
Abstract. We consider a survivable network design problem known as the 2-NodeConnected Steiner Network Problem (2NCON): we are given a weighted undirected graph with a node partiti...
Markus Chimani, Maria Kandyba, Ivana Ljubic, Petra...
MP
2006
84views more  MP 2006»
13 years 5 months ago
Optimal 3-terminal cuts and linear programming
Given an undirected graph G = (V;E) and three speci ed terminal nodes t1;t2;t3, a 3-cut is a subset A of E such that no two terminals are in the same component of GnA. If a non-neg...
Kevin K. H. Cheung, William H. Cunningham, Lawrenc...
GECCO
2008
Springer
156views Optimization» more  GECCO 2008»
13 years 6 months ago
Computing minimum cuts by randomized search heuristics
We study the minimum s-t-cut problem in graphs with costs on the edges in the context of evolutionary algorithms. Minimum cut problems belong to the class of basic network optimiz...
Frank Neumann, Joachim Reichel, Martin Skutella