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Optimal Complexity of Parameterized Quantum Circuits [PDF]
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 ...
Guilherme I. Correr +3 more
doaj +2 more sources
Parameterized Complexity of Equitable Coloring [PDF]
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
doaj +5 more sources
On the Parameterized Complexity of Eulerian Strong Component Arc Deletion. [PDF]
In this paper, we study the Eulerian Strong Component Arc Deletion problem, where the input is a directed multigraph and the goal is to delete the minimum number of arcs to ensure every strongly connected component of the resulting digraph is Eulerian.
Blažej V +3 more
europepmc +2 more sources
On the parameterized complexity of the median and closest problems under some permutation metrics [PDF]
Genome 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 ...
Luís Cunha, Ignasi Sau, Uéverton Souza
doaj +2 more sources
A Survey on Approximation in Parameterized Complexity: Hardness and Algorithms
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 +3 more
doaj +3 more sources
Describing parameterized complexity classes
We describe parameterized complexity classes by means of classical complexity theory and descriptive complexity theory. For every classical complexity class we introduce a parameterized analogue in a natural way. In particular, the analogue of polynomial
Flum, Jörg +3 more
core +4 more sources
Parameterized parallel complexity [PDF]
We introduce a framework to study the parallel complexity of parameterized problems, and we propose some analogs of ...
Cesati M., Di Ianni M.
core +3 more sources
Parameterized Complexity of Streaming Diameter and Connectivity Problems [PDF]
We initiate the investigation of the parameterized complexity of Diameter and Connectivity in the streaming paradigm. On the positive end, we show that knowing a vertex cover of size k allows for algorithms in the Adjacency List (AL) streaming model ...
van Leeuwen, Erik Jan +3 more
core +2 more sources
Parameterized Complexity of Scheduling Chains of Jobs with Delays [PDF]
In this paper, we consider the parameterized complexity of the following scheduling problem. We must schedule a number of jobs on m machines, where each job has unit length, and the graph of precedence constraints consists of a set of chains.
Wegen, Marieke van der +2 more
core +2 more sources
Parameterized Proof Complexity [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefan S. Dantchev +2 more
openaire +2 more sources

