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DAGSTUHL
2007
14 years 10 days ago
Directed Feedback Vertex Set Problem is FPT
To decide if the parameterized feedback vertex set problem in directed graph is fixed-parameter tractable is a long standing open problem. In this paper, we prove that the paramet...
Jianer Chen, Yang Liu 0002, Songjian Lu
WADS
2007
Springer
114views Algorithms» more  WADS 2007»
14 years 5 months ago
Improved Algorithms for the Feedback Vertex Set Problems
Abstract. We present improved parameterized algorithms for the Feedback Vertex Set problem on both unweighted and weighted graphs. Both algorithms run in time O(5k kn2 ). The algor...
Jianer Chen, Fedor V. Fomin, Yang Liu 0002, Songji...
SWAT
2010
Springer
260views Algorithms» more  SWAT 2010»
14 years 4 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
DAM
2008
108views more  DAM 2008»
13 years 11 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
STACS
2007
Springer
14 years 5 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