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Fixed-Parameter Tractable Reductions to SAT

2014
Today’s SAT solvers have an enormous importance and impact in many practical settings. They are used as efficient back-end to solve many NP-complete problems. However, many computational problems are located at the second level of the Polynomial Hierarchy or even higher, and hence polynomial-time transformations to SAT are not possible, unless the ...
Ronald de Haan, Stefan Szeider
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Fixed-Parameter Tractability of Anonymizing Data by Suppressing Entries

Journal of Combinatorial Optimization, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patricia A. Evans   +2 more
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Fixed-Parameter Tractability of (n − k) List Coloring

Theory of Computing Systems, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aritra Banik   +3 more
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On Fixed-Parameter Tractable Parameterizations of SAT

2004
We survey and compare parameterizations of the propositional satisfiability problem (SAT) in the framework of Parameterized Complexity (Downey and Fellows, 1999). In particular, we consider (a) parameters based on structural graph decompositions (tree-width, branch-width, and clique-width), (b) a parameter emerging from matching theory (maximum ...
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A fixed-parameter tractable algorithm for matrix domination

Information Processing Letters, 2004
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Minimum Quartet Inconsistency Is Fixed Parameter Tractable

2001
We study the parameterized complexity of the problem to reconstruct a binary (evolutionary) tree from a complete set of quartet topologies in the case of a limited number of errors. More precisely, we are given n taxa, exactly one topology for every subset of 4 taxa, and a positive integer k (the parameter). Then, the Minimum Quartet Inconsistency (MQI)
Jens Gramm, Rolf Niedermeier
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Sparse Integer Programming Is Fixed-Parameter Tractable

Mathematics of Operations Research
We study the general integer programming problem where the number of variables n is a variable part of the input. We consider two natural parameters of the constraint matrix A: its numeric measure a and its sparsity measure d. We present an algorithm for solving integer programming in time [Formula: see text], where g is some computable function of ...
Friedrich Eisenbrand   +5 more
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Fixed-Parameter Tractable Generalizations of Cluster Editing

2006
In the Cluster Editing problem, a graph has to be changed to a disjoint union of cliques by at most k edge insertions or deletions. Several reasons suggest a generalized problem where the target graph can have some overlapping cliques. We show that the problem remains fixed-parameter tractable (FPT) in the combination of both parameters: k and a second
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Finding a maximum minimal separator: Graph classes and fixed-parameter tractability

Theoretical Computer Science, 2021
Tesshu Hanaka   +2 more
exaly  

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