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COCOON
2005
Springer
13 years 11 months ago
Complexity and Approximation of Satisfactory Partition Problems
The Satisfactory Partition problem consists of deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neighb...
Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
13 years 11 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 6 months ago
A quasi-PTAS for unsplittable flow on line graphs
We study the Unsplittable Flow Problem (UFP) on a line graph, focusing on the long-standing open question of whether the problem is APX-hard. We describe a deterministic quasi-pol...
Nikhil Bansal, Amit Chakrabarti, Amir Epstein, Bar...
ICALP
2001
Springer
13 years 10 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
13 years 11 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...