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» Directed Feedback Vertex Set is Fixed-Parameter Tractable
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DAM
2000
137views more  DAM 2000»
13 years 7 months ago
Solving the feedback vertex set problem on undirected graphs
Feedback problems consist of removing a minimal number of vertices of a directed or undirected graph in order to make it acyclic. The problem is known to be NPcomplete. In this pa...
Lorenzo Brunetta, Francesco Maffioli, Marco Trubia...
CORR
2011
Springer
205views Education» more  CORR 2011»
12 years 11 months ago
Algorithms for Implicit Hitting Set Problems
A hitting set for a collection of sets is a set that has a nonempty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum card...
Karthekeyan Chandrasekaran, Richard Karp, Erick Mo...
CIAC
2010
Springer
251views Algorithms» more  CIAC 2010»
14 years 4 months ago
A parameterized algorithm for Chordal Sandwich
Given an arbitrary graph G = (V, E) and an additional set of admissible edges F, the Chordal Sandwich problem asks whether there exists a chordal graph (V, E F ) such that F F. ...
Pinar Heggernes, Federico Mancini, Jesper Nederlof...
DCFS
2011
66views more  DCFS 2011»
12 years 7 months ago
Kleene Theorems for Product Systems
We prove Kleene theorems for two subclasses of labelled product systems which are inspired from well-studied subclasses of 1bounded Petri nets. For product T-systems we define a c...
Kamal Lodaya, Madhavan Mukund, Ramchandra Phawade
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 9 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh