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» A Cubic Kernel for Feedback Vertex Set
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STACS
2007
Springer
15 years 3 months 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
CIAC
2006
Springer
111views Algorithms» more  CIAC 2006»
15 years 1 months ago
Fixed-Parameter Tractability Results for Feedback Set Problems in Tournaments
Complementing recent progress on classical complexity and polynomial-time approximability of feedback set problems in (bipartite) tournaments, we extend and partially improve fixed...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
FSTTCS
2009
Springer
15 years 4 months ago
Kernels for Feedback Arc Set In Tournaments
A tournament T = (V, A) is a directed graph in which there is exactly one arc between every pair of distinct vertices. Given a digraph on n vertices and an integer parameter k, th...
Stéphane Bessy, Fedor V. Fomin, Serge Gaspe...
75
Voted
CORR
2010
Springer
162views Education» more  CORR 2010»
14 years 6 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
98
Voted
NETWORKS
2010
14 years 8 months ago
Fixed-parameter tractability results for full-degree spanning tree and its dual
We provide first-time fixed-parameter tractability results for the NP-complete problems Maximum Full-Degree Spanning Tree and Minimum-Vertex Feedback Edge Set. These problems are...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke