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STACS
2007
Springer
16 years 7 days ago
A Cubic Kernel for Feedback Vertex Set
In this paper, it is shown that the Feedback Vertex Set problem on unweighted, undirected graphs has a kernel of cubic size. I.e., a polynomial time algorithm is described, that, w...
Hans L. Bodlaender
FOCS
2006
IEEE
16 years 6 days ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
WINE
2005
Springer
122views Economy» more  WINE 2005»
15 years 11 months ago
Walrasian Equilibrium: Hardness, Approximations and Tractable Instances
We study the complexity issues for Walrasian equilibrium in a special case of combinatorial auction, called single-minded auction, in which every participant is interested in only ...
Ning Chen, Atri Rudra
ESA
2004
Springer
103views Algorithms» more  ESA 2004»
15 years 11 months ago
Faster Fixed-Parameter Tractable Algorithms for Matching and Packing Problems
Abstract. We obtain faster algorithms for problems such as rdimensional matching, r-set packing, graph packing, and graph edge packing when the size k of the solution is considered...
Michael R. Fellows, Christian Knauer, Naomi Nishim...
ISAAC
2004
Springer
115views Algorithms» more  ISAAC 2004»
15 years 11 months ago
Multicriteria Global Minimum Cuts
We consider two multicriteria versions of the global minimum cut problem in undirected graphs. In the k-criteria setting, each edge of the input graph has k non-negative costs ass...
Amitai Armon, Uri Zwick