In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according...

is known that the general graph Steiner tree problem does not have a parameterized algorithm running in 2 ϵ t poly ( n ) {\displaystyle 2^{\epsilon t}{\text{poly}}(n)}...

fixed-parameter tractable. The longest path problem, parameterized by clique-width, is hard for the parameterized complexity class W [ 1 ] {\displaystyle W[1]} , showing...

An algorithmic paradigm or algorithm design paradigm is a generic model or framework which underlies the design of a class of algorithms. An algorithmic...

the instance, the number of vertices, or the number of edges. In parameterized complexity, this difference is made explicit by considering pairs ( L , k...

dominating set of size k plays a central role in the theory of parameterized complexity. It is the most well-known problem complete for the class W[2]...

A parameterized approximation algorithm is a type of algorithm that aims to find approximate solutions to NP-hard optimization problems in polynomial...

time hypothesis and the parameterized clique problem", in Thilikos, Dimitrios M.; Woeginger, Gerhard J. (eds.), Parameterized and Exact Computation –...

computational complexity theory. Furthermore, the vertex cover problem is fixed-parameter tractable and a central problem in parameterized complexity theory...

computability and complexity topics List of unsolved problems in computer science Parameterized complexity Proof complexity Quantum complexity theory Structural...

that cut away parts of the instance that are easy to handle. In parameterized complexity theory, it is often possible to prove that a kernel with guaranteed...

no matching algorithm is known for the case of k ≥ 3. Parameterized complexity is the complexity-theoretic study of problems that are naturally equipped...

In graph theory and theoretical computer science, the monochromatic triangle problem is an algorithmic problem on graphs, in which the goal is to partition...

Purohit, N. (2019), "Metric Dimension Parameterized by Treewidth", in Jansen, B. M. P.; Telle, J. A. (eds.), Parameterized and Exact Computation 2019 – IPEC...

incidence problems in discrete geometry, and have also been used in parameterized complexity. According to the Kővári–Sós–Turán theorem, every n-vertex t-biclique-free...

computer scientist and graph theorist specializing in parameterized complexity, parameterized algorithms for constraint satisfaction problems, and width...

minimizing the number of true variables, is an important test case for parameterized complexity. A 2-satisfiability problem may be described using a Boolean expression...

level of a hierarchy of hard problems from the point of view of parameterized complexity. Therefore, it is unlikely to have a fixed-parameter tractable...

professional wrestling promotion The computational complexity class W[1] in parameterized complexity The Apple W1 wireless pairing chip primarily used...

vertex. Several authors have studied the parameterized complexity of graph algorithms on r-near-trees, parameterized by r {\displaystyle r} . The cycle rank...

professor at Charles Darwin University, Australia, and Director of the Parameterized Complexity Research Unit (PCRU). He has taught in the United States, Canada...

fixed-parameter tractable when parameterized by the difference q − |C|/3 between the solution quality q found by the parameterized algorithm and the |C|/3 quality...

touch each other. Treewidth is commonly used as a parameter in the parameterized complexity analysis of graph algorithms. Many algorithms that are NP-hard...

Gutin, Gregory; Muciaccia, Gabriele; Yeo, Anders (2013-11-18). "Parameterized complexity of k-Chinese Postman Problem". Theoretical Computer Science. 513:...

scientist, and mathematics educator known for her research in parameterized complexity and her work in mathematics education. She is a professor in the...

algorithms Game semantics Generalized game Multiple-agent system Parameterized complexity Process calculi Pi-calculus Hypercomputation Real computation Computable...

research on parameterized complexity, mathematical logic, finite model theory, the logic of graphs, database theory, descriptive complexity theory, and...

a natural number associated with the graph, used to study the parameterized complexity of graph algorithms. Intuitively, it measures how similar the graph...

iterative compression, a more general tool for many other parameterized algorithms. The parameterized algorithms known for these problems take nearly-linear...

Press, 2014), p. 372. Haan, R. de, Parameterized Complexity in the Polynomial Hierarchy: Extending Parameterized Complexity Theory to Higher Levels of the...