Feedback vertex set

Known as: Cycle Cutset, Feedback (disambiguation) 
In the mathematical discipline of graph theory, a feedback vertex set of a graph is a set of vertices whose removal leaves a graph without cycles. In… (More)
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APXAlgorithmicaArtificial IntelligenceBidimensionality
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Papers overview

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2017
2017
Linear-Time Kernelization for Feedback Vertex Set
In this paper, we propose an algorithm that, given an undirected graph G of m edges and an integer k, computes a graph G′ and an… (More)
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2014
2014
Faster deterministic Feedback Vertex Set
We present a new deterministic algorithm for the Feedback Vertex Set problem parameterized by the solution size. Our algorithm… (More)
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2011
2011
Feedback Vertex Set in Mixed Graphs
A mixed graph is a graph with both directed and undirected edg es. We present an algorithm for deciding whether a given mixed gr… (More)
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Highly Cited
2010
Highly Cited
2010
A 4k2 kernel for feedback vertex set
We prove that given an undirected graph <i>G</i> on <i>n</i> vertices and an integer <i>k</i>, one can compute, in polynomial… (More)
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Highly Cited
2008
Highly Cited
2008
A fixed-parameter algorithm for the directed feedback vertex set problem
The (parameterized) FEEDBACK VERTEX SET problem on directed graphs (i.e., the DFVS problem) is defined as follows: given a… (More)
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2007
2007
A Cubic Kernel for Feedback Vertex Set
The Feedback Vertex Set problem on unweighted, undirected graphs is considered. Improving upon a result by Burrage et al. [7], we… (More)
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2007
2007
Directed Feedback Vertex Set is Fixed-Parameter Tractable
We resolve positively a long standing open question regarding the fixed-parameter tractability of the parameterized Directed… (More)
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Highly Cited
2006
Highly Cited
2006
Compression-based fixed-parameter algorithms for feedback vertex set and edge bipartization
We show that the NP-complete FEEDBACK VERTEX SET problem, which asks for the smallest set of vertices to remove from a graph to… (More)
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2004
2004
Parameterized Algorithms for Feedback Vertex Set
We present an algorithm for the parameterized feedback vertex set problem that runs in time O((2 lg k + 2 lg lg k + 18)n). This… (More)
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2000
2000
Feedback vertex set in hypercubes
Given a graphG = (V ,E), the minimum feedback vertex set V is a subset of vertices of minimum size whose removal induces an… (More)
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