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» A Cubic Kernel for Feedback Vertex Set
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STACS
2007
Springer
13 years 10 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»
13 years 8 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
13 years 11 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...
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 1 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...
NETWORKS
2010
13 years 2 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