FPT algorithms for Connected Feedback Vertex Set
نویسندگان
چکیده
منابع مشابه
FPT Algorithms for Connected Feedback Vertex Set
We study the recently introduced Connected Feedback Vertex Set (CFVS) problem from the view-point of parameterized algorithms. CFVS is the connected variant of the classical Feedback Vertex Set problem and is defined as follows: given a graph G = (V, E) and an integer k, decide whether there exists F ⊆ V , |F | ≤ k, such that G[V \ F ] is a forest and G[F ] is connected. We show that Connected ...
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To decide if the parameterized feedback vertex set problem in directed graph is fixed-parameter tractable is a long time open problem. In this paper, we prove that the parameterized feedback vertex set in directed graph is fixed-parameter tractable and give the first FPT algorithm of running time O((1.48k)n) for it. As the feedback arc set problem in directed graph can be transformed to a feedb...
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We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set S ⊆ V (G) such that G \ S is a forest and S is an independent set of size at most k. We present an O∗((1 +φ))-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, impro...
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In this experimental study we evaluate the performance of a recent fixed parameter tractable (FPT) algorithm for the directed feedback node set problem (DFVS) by Chen et al. Lacking suitable real world data, all tests are performed on random graphs. To speed up the FPT algorithm we propose several new data reduction rules for DFVS, and then use various heuristics to accelerate the FPT search. O...
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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 improves the previous O(max{12, (4 lg k)}n) algorithm by Raman et al. by roughly a 2 factor (n ∈ O(n) is the time needed to multiply two n × n matrices). Our results are obtained by developing new combinatorial tools and employing results from extremal graph theory. We...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Optimization
سال: 2011
ISSN: 1382-6905,1573-2886
DOI: 10.1007/s10878-011-9394-2