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DAGSTUHL
2007
14 years 27 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
2005
Springer
108views Algorithms» more  WADS 2005»
14 years 4 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...
ICALP
2005
Springer
14 years 5 months ago
The Generalized Deadlock Resolution Problem
In this paper we initiate the study of the AND-OR directed feedback vertex set problem from the viewpoint of approximation algorithms. This AND-OR feedback vertex set problem is m...
Kamal Jain, Mohammad Taghi Hajiaghayi, Kunal Talwa...
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...
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
IWOCA
2009
Springer
153views Algorithms» more  IWOCA 2009»
14 years 6 months ago
Feedback Vertex Set on Graphs of Low Cliquewidth
The Feedback Vertex Set problem asks whether a graph contains q vertices meeting all its cycles. This is not a local property, in the sense that we cannot check if q vertices meet...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...