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» Approximating the minimum hub cover problem on planar graphs
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ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
14 years 9 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 1 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...
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
14 years 8 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
14 years 9 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 2 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...