Search Results - Fixed parameter complexity
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Fixed-parameter decidability: Extending parameterized complexity analysis: Fixed-Parameter decidability
ISSN: 0942-5616Published: 01.12.2016Published in Mathematical logic quarterly (01.12.2016)Get full text
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Fixed-parameter complexity of λ-labelings
ISSN: 0166-218X, 1872-6771Published: Lausanne Elsevier B.V 2001Published in Discrete Applied Mathematics (2001)“… We study the minimum value λ= λ( G) such that G admits a λ-labeling. We show that for every fixed value k…”
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Fixed-Parameter Complexity and Approximability of Norm Maximization
ISSN: 0179-5376, 1432-0444Published: Boston Springer US 01.03.2015Published in Discrete & computational geometry (01.03.2015)“… In this paper, we use the theory of parameterized complexity to analyze how heavily the hardness of norm maximization relies on the parameter d…”
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Fixed-parameter decidability: Extending parameterized complexity analysis
ISSN: 0942-5616, 1521-3870Published: Berlin Blackwell Publishing Ltd 01.12.2016Published in Mathematical logic quarterly (01.12.2016)“…We extend the reach of fixed‐parameter analysis by introducing classes of parameterized sets defined based on decidability instead of complexity…”
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Fixed-parameter complexity in AI and nonmonotonic reasoning
ISSN: 0004-3702, 1872-7921Published: Elsevier B.V 01.06.2002Published in Artificial intelligence (01.06.2002)“… The theory of parameterized complexity deals with such issues, and provides general techniques for identifying fixed-parameter tractable and fixed-parameter intractable problems…”
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On the complexity of fixed parameter clique and dominating set
ISSN: 0304-3975, 1879-2294Published: Amsterdam Elsevier B.V 20.10.2004Published in Theoretical computer science (20.10.2004)“…We provide simple, faster algorithms for the detection of cliques and dominating sets of fixed order…”
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On the fixed parameter complexity of graph enumeration problems definable in monadic second-order logic
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 15.02.2001Published in Discrete Applied Mathematics (15.02.2001)“…We discuss the parametrized complexity of counting and evaluation problems on graphs where the range of counting is definable in monadic second-order logic (MSOL…”
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Fixed-Parameter Complexity of Minimum Profile Problems
ISSN: 0178-4617, 1432-0541Published: New York Springer-Verlag 01.10.2008Published in Algorithmica (01.10.2008)“… −1 is a tight lower bound for the profile. We present two fixed-parameter algorithms for this problem…”
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Fixed-Parameter Complexity of Minimum Profile Problems: Parameterized and Exact Algorithms
ISSN: 0178-4617, 1432-0541Published: Heidelberg Springer 2008Published in Algorithmica (2008)Get full text
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Scaffolding Problems Revisited: Complexity, Approximation and Fixed Parameter Tractable Algorithms, and Some Special Cases
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.06.2018Published in Algorithmica (01.06.2018)“…This paper is devoted to new results about the scaffolding problem, an integral problem of genome inference in bioinformatics. The problem consists in finding…”
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Kernel bounds for disjoint cycles and disjoint paths
ISSN: 0304-3975, 1879-2294Published: Oxford Elsevier B.V 12.08.2011Published in Theoretical computer science (12.08.2011)“… . Thus, these problems do not allow polynomial time preprocessing that results in instances whose size is bounded by a polynomial in the parameter at hand…”
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Parameterized complexity of multiwinner determination: more effort towards fixed-parameter tractability
ISSN: 1387-2532, 1573-7454Published: New York Springer US 01.12.2023Published in Autonomous agents and multi-agent systems (01.12.2023)“… Although they have been studied from the parameterized complexity point of view with respect to several natural parameters, many of them turned out to be W[1]-hard or W[2]-hard…”
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The complexity of quantum circuit mapping with fixed parameters
ISSN: 1573-1332, 1573-1332Published: New York Springer US 27.10.2022Published in Quantum information processing (27.10.2022)“… The complexity of QCM with fixed parameters is studied in the paper. We give an exact algorithm for QCM, and show that the algorithm runs in polynomial time if the NISQ…”
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On the Grundy and b-Chromatic Numbers of a Graph
ISSN: 0178-4617, 1432-0541Published: New York Springer-Verlag 01.04.2013Published in Algorithmica (01.04.2013)“… . We then show that deciding if Γ ( G )≥| V ( G )|− k or if χ b ( G )≥| V ( G )|− k are fixed parameter tractable problems with respect to the parameter k …”
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On the Complexity of Some Geometric Problems With Fixed Parameters
ISSN: 1526-1719, 1526-1719Published: 01.01.2021Published in Journal of graph algorithms and applications (01.01.2021)“…) as long as the parameter $k$ is unbounded. Do they remain ${\exists \mathbb{R}}$-complete for a fixed value $k$? Do $k…”
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Ranking chain sum orders
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 11.07.2016Published in Theoretical computer science (11.07.2016)“…Ranking information is an important topic in information sciences, Internet searching, voting systems, and sports. In the full information approach, a ranking…”
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Monotone Arithmetic Complexity of Graph Homomorphism Polynomials
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.09.2023Published in Algorithmica (01.09.2023)“… families which are complete for algebraic complexity classes VBP , V P , and VNP . We discover that, in the monotone setting, the formula complexity, the ABP complexity…”
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Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 2005Published in Discrete Applied Mathematics (2005)“…Tutte polynomials are important graph invariants with rich applications in combinatorics, topology, knot theory, coding theory and even physics. The Tutte…”
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The Complexity Landscape of Fixed-Parameter Directed Steiner Network Problems
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 10.11.2022Published in arXiv.org (10.11.2022)“… (when we ask for paths from a root \(r\) to terminals \(t_1,\dots,t_d\)) is known to be fixed-parameter tractable parameterized by the number of terminals, while the special case Strongly Connected Steiner Subgraph…”
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Branch-width, parse trees, and monadic second-order logic for matroids
ISSN: 0095-8956, 1096-0902Published: Elsevier Inc 01.05.2006Published in Journal of combinatorial theory. Series B (01.05.2006)“…We introduce “matroid parse trees” which, using only a limited amount of information at each node, can build up the vector representations of matroids of…”
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