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» Parameterized Algorithms for Feedback Vertex Set
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SWAT
2010
Springer
260views Algorithms» more  SWAT 2010»
13 years 11 months ago
Isomorphism for Graphs of Bounded Feedback Vertex Set Number
This paper presents an O(n2 ) algorithm for deciding isomorphism of graphs that have bounded feedback vertex set number. This number is defined as the minimum number of vertex de...
Stefan Kratsch, Pascal Schweitzer
STACS
2007
Springer
14 years 11 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
WADS
2005
Springer
108views Algorithms» more  WADS 2005»
13 years 11 months ago
Improved Fixed-Parameter Algorithms for Two Feedback Set Problems
Abstract. Settling a ten years open question, we show that the NPcomplete Feedback Vertex Set problem is deterministically solvable in O(ck ·m) time, where m denotes the number of...
Jiong Guo, Jens Gramm, Falk Hüffner, Rolf Nie...
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 3 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...
DAM
2008
108views more  DAM 2008»
13 years 6 months ago
Feedback vertex set on AT-free graphs
We present a polynomial time algorithm to compute a minimum (weight) feedback vertex set for AT-free graphs, and extending this approach we obtain a polynomial time algorithm for ...
Dieter Kratsch, Haiko Müller, Ioan Todinca