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ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
14 years 11 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
FOCS
2008
IEEE
15 years 5 months ago
Degree Bounded Network Design with Metric Costs
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
14 years 11 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
FSTTCS
2007
Springer
15 years 5 months ago
Better Algorithms and Bounds for Directed Maximum Leaf Problems
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pa...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
JCO
2010
67views more  JCO 2010»
14 years 9 months ago
Galaxy cutsets in graphs
Given a network G = (V, E), we say that a subset of vertices S ⊆ V has radius r if it is spanned by a tree of depth at most r. We are interested in determining whether G has a cu...
Nicolas Sonnerat, Adrian Vetta