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» On a Cone Covering Problem
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TALG
2008
93views more  TALG 2008»
15 years 6 months ago
Limitations of cross-monotonic cost-sharing schemes
A cost-sharing scheme is a set of rules defining how to share the cost of a service (often computed by solving a combinatorial optimization problem) amongst serviced customers. A ...
Nicole Immorlica, Mohammad Mahdian, Vahab S. Mirro...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 10 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
JGO
2010
96views more  JGO 2010»
15 years 4 months ago
Duality and optimality conditions for generalized equilibrium problems involving DC functions
We consider a generalized equilibrium problem involving DC functions which is called (GEP). For this problem we establish two new dual formulations based on Toland-Fenchel-Lagrange...
N. Dinh, Jean-Jacques Strodiot, Van Hien Nguyen
TAMC
2007
Springer
16 years 15 days ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
15 years 11 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