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Optimal Complexity of Parameterized Quantum Circuits. [PDF]
Entropy (Basel)Parameterized quantum circuits are central to the development of variational quantum algorithms in the NISQ era. A key feature of these circuits is their ability to generate an expressive set of quantum states, enabling the approximation of solutions to ...
Correr GI +3 more
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Parameterized Complexity of Equitable Coloring [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 A graph on $n$ vertices is equitably $k$-colorable if it is $k$-colorable and every color is used either $\left\lfloor n/k \right\rfloor$ or $\left\lceil n/k \right\rceil$ times.
Guilherme de C. M. Gomes +2 more
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A Survey on Approximation in Parameterized Complexity: Hardness and Algorithms
Algorithms, 2020 Parameterization and approximation are two popular ways of coping with NP-hard problems. More recently, the two have also been combined to derive many interesting results.
Andreas Emil Feldmann +2 more
exaly +3 more sources
On the parameterized complexity of the median and closest problems under some permutation metrics. [PDF]
Algorithms Mol BiolGenome rearrangements are events where large blocks of DNA exchange places during evolution. The analysis of these events is a promising tool for understanding evolutionary genomics, providing data for phylogenetic reconstruction based on genome ...
Cunha L, Sau I, Souza U.
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Parameterized complexity of synchronization and road coloring [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Automata, Logic and ...
Vojtěch Vorel, Adam Roman
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Algorithms, 2020 In this paper, we study the relationship of parameterized enumeration complexity classes defined by Creignou et al. (MFCS 2013). Specifically, we introduce two hierarchies (IncFPTa and CapIncFPTa) of enumeration complexity classes for incremental fpt ...
Arne Meier
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New Algorithms for Mixed Dominating Set [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 A mixed dominating set is a collection of vertices and edges that dominates all vertices and edges of a graph. We study the complexity of exact and parameterized algorithms for \textsc{Mixed Dominating Set}, resolving some open questions.
Louis Dublois +2 more
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Clique Transversal Variants on Graphs: A Parameterized-Complexity Perspective
Mathematics, 2023 The clique transversal problem and its variants have garnered significant attention in the last two decades due to their practical applications in communication networks, social-network theory and transceiver placement for cellular telephones.
Chuan-Min Lee
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On the Descriptive Complexity of Color Coding
Algorithms, 2021 Color coding is an algorithmic technique used in parameterized complexity theory to detect “small” structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable, small color ...
Max Bannach, Till Tantau
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Model-Checking Problems as a Basis for Parameterized Intractability [PDF]
Logical Methods in Computer Science, 2005 Most parameterized complexity classes are defined in terms of a parameterized version of the Boolean satisfiability problem (the so-called weighted satisfiability problem). For example, Downey and Fellow's W-hierarchy is of this form.
Joerg Flum, Martin Grohe
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