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JGAA
2007
142views more  JGAA 2007»
13 years 4 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 4 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
13 years 11 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
ESA
2008
Springer
134views Algorithms» more  ESA 2008»
13 years 6 months ago
A Near-Tight Bound for the Online Steiner Tree Problem in Graphs of Bounded Asymmetry
The edge asymmetry of a directed, edge-weighted graph is defined as the maximum ratio of the weight of antiparallel edges in the graph, and can be used as a measure of the heterog...
Spyros Angelopoulos
CIAC
2010
Springer
246views Algorithms» more  CIAC 2010»
13 years 8 months ago
Capacitated Confluent Flows: Complexity and Algorithms
A flow on a directed network is said to be confluent if the flow uses at most one outgoing arc at each node. Confluent flows arise naturally from destination-based routing. We stud...
Daniel Dressler and Martin Strehler