AI & ChatGPT searches , social queriess for PARAMETERIZED COMPLEXITY
Search references for PARAMETERIZED COMPLEXITY. Phrases containing PARAMETERIZED COMPLEXITY
See searches and references containing PARAMETERIZED COMPLEXITY!
Search references for PARAMETERIZED COMPLEXITY. Phrases containing PARAMETERIZED COMPLEXITY
See searches and references containing PARAMETERIZED COMPLEXITY!PARAMETERIZED COMPLEXITY
Branch of computational complexity theory
In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according
Parameterized_complexity
On short connecting nets with added points
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)}
Steiner_tree_problem
Unproven computational hardness assumption
time hypothesis and the parameterized clique problem", in Thilikos, Dimitrios M.; Woeginger, Gerhard J. (eds.), Parameterized and Exact Computation –
Exponential_time_hypothesis
Logical formulation of graph properties
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
Logic_of_graphs
Feature of systems that defy description
design of the software. Halstead complexity measures, cyclomatic complexity, time complexity, and parameterized complexity are closely linked concepts. In
Complexity
Estimate of time taken for running an algorithm
the instance, the number of vertices, or the number of edges. In parameterized complexity, this difference is made explicit by considering pairs ( L , k
Time_complexity
Type of algorithm
and paraNP-hard parameterized by the doubling dimension (as it is NP-hard in the Euclidean plane). However, an EPAS exists parameterized by the doubling
Parameterized approximation algorithm
Parameterized_approximation_algorithm
Problem of finding the longest simple path for a given graph
fixed-parameter tractable. The longest path problem, parameterized by clique-width, is hard for the parameterized complexity class W [ 1 ] {\displaystyle W[1]} , showing
Longest_path_problem
Subset of a graph's nodes such that all other nodes link to at least one
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]
Dominating_set
Technique or strategy underlying a variety of algorithms
An algorithmic paradigm or algorithm design paradigm is a generic model or framework which underlies the design of a class of algorithms. An algorithmic
Algorithmic_paradigm
Subset of a graph's vertices, including at least one endpoint of every edge
computational complexity theory. Furthermore, the vertex cover problem is fixed-parameter tractable and a central problem in parameterized complexity theory
Vertex_cover
Task of computing complete subgraphs
no matching algorithm is known for the case of k ≥ 3. Parameterized complexity is the complexity-theoretic study of problems that are naturally equipped
Clique_problem
South Korean computer scientist
computer scientist and graph theorist specializing in parameterized complexity, parameterized algorithms for constraint satisfaction problems, and width
Eun Jung Kim (computer scientist)
Eun_Jung_Kim_(computer_scientist)
Number of vertices with unambiguous distances
Purohit, N. (2019), "Metric Dimension Parameterized by Treewidth", in Jansen, B. M. P.; Telle, J. A. (eds.), Parameterized and Exact Computation 2019 – IPEC
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
Inherent difficulty of computational problems
computability and complexity topics List of unsolved problems in computer science Parameterized complexity Proof complexity Quantum complexity theory Structural
Computational complexity theory
Computational_complexity_theory
Problem in graph theory
treewidth and clique-width. However, under standard assumptions in parameterized complexity, it is not fixed-parameter tractable for clique-width. Treating
Maximum_cut
German mathematician and computer scientist
research on parameterized complexity, mathematical logic, finite model theory, the logic of graphs, database theory, descriptive complexity theory, and
Martin_Grohe
Property in graph theory
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
Biclique-free_graph
In the parameterized complexity of algorithms, the klam value of a parameterized algorithm is a number that bounds the parameter values for which the
Klam_value
In graph theory and theoretical computer science, the monochromatic triangle problem is an algorithmic problem on graphs, in which the goal is to partition
Monochromatic_triangle
Unsolved problem in computer science
algebraic complexity: VP vs. VNP problem. Like P vs. NP, the answer is currently unknown. FPT vs. W[1] is an analogous problem in parameterized complexity. Exponential
P_versus_NP_problem
Indian computer scientist
includes publications in proof complexity, algebraic circuit complexity, small-space complexity classes, parameterized complexity, and algorithms for planar
Meena_Mahajan
a natural number associated with the graph, used to study the parameterized complexity of graph algorithms. Intuitively, it measures how similar the graph
Twin-width
Algorithmic technique
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
Kernelization
Logic problem, AND of pairwise ORs
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
2-satisfiability
Number denoting a graph's closeness to a tree
touch each other. Treewidth is commonly used as a parameter in the parameterized complexity analysis of graph algorithms. Many algorithms that are NP-hard
Treewidth
Topics referred to by the same term
professional wrestling promotion The computational complexity class W[1] in parameterized complexity The Apple W1 wireless pairing chip primarily used
W1
Existence and cardinality of models of logical theories
Press, 2014), p. 372. Haan, R. de, Parameterized Complexity in the Polynomial Hierarchy: Extending Parameterized Complexity Theory to Higher Levels of the
Löwenheim–Skolem_theorem
Fewest graph edges whose removal breaks all cycles
vertex. Several authors have studied the parameterized complexity of graph algorithms on r-near-trees, parameterized by r {\displaystyle r} . The cycle rank
Cyclomatic_number
algorithms Game semantics Generalized game Multiple-agent system Parameterized complexity Process calculi Pi-calculus Hypercomputation Real computation Computable
List of computability and complexity topics
List_of_computability_and_complexity_topics
Collection of sets in which every two sets have the same intersection
{\displaystyle AC_{0}} circuits. It has also been applied in the parameterized complexity of the hitting set problem, to design fixed-parameter tractable
Sunflower_(mathematics)
(2015), "Parameterized complexity of graph constraint logic", in Husfeldt, Thore; Kanj, Iyad (eds.), 10th International Symposium on Parameterized and Exact
Reconfiguration
scientific computing Eun Jung Kim, South Korean researcher in parameterized complexity and graph width Ju-Lee Kim (born 1969), Korean-American expert
List_of_women_in_mathematics
Graph with at most one crossing per edge
Bannister, Michael J.; Cabello, Sergio; Eppstein, David (2013), "Parameterized complexity of 1-planarity", Algorithms and Data Structures Symposium (WADS
1-planar_graph
Computer science field
1007/10722167_15, ISBN 978-3-540-67770-3 Dawar, A; Kreutzer, S (2009). "Parameterized complexity of first-order logic" (PDF). ECCC. S2CID 5856640. Archived from
Model_checking
Number of subsets of a given size
University Press. ISBN 0-521-41974-3. Flum, Jörg; Grohe, Martin (2006). Parameterized Complexity Theory. Springer. ISBN 978-3-540-29952-3. Archived from the original
Binomial_coefficient
Spanish and Australian mathematician, computer scientist, and mathematics educator
scientist, and mathematics educator known for her research in parameterized complexity and her work in mathematics education. She is a professor in the
Elena_Prieto-Rodriguez
graph that includes at least one vertex from every odd cycle; its parameterized complexity was a longstanding open question. This technique later proved very
Iterative_compression
1557–1576, MR 3202998 Moser, Hannes; Sikdar, Somnath (2009), "The parameterized complexity of the induced matching problem", Discrete Applied Mathematics
Induced_matching
Australian computer scientist
education and parameterized complexity. She is the editor of the Parameterized Complexity Newsletter, moderator of the parameterized complexity wiki, and
Frances_A._Rosamond
{\displaystyle \Gamma } . An instance of a parameterized problem consists of (x,k), where k is called the parameter. A parameterized problem Π {\displaystyle \Pi }
Bidimensionality
Indian computer scientist
parameterized complexity, exact algorithms, graph algorithms and game theory. His fundamental contributions to the area of parameterized complexity include
Saket_Saurabh
French computer scientist
graph theory problems from the points of view of parameterized complexity, fine-grained complexity, approximation algorithms, and regret. Bazgan earned
Cristina_Bazgan
American computer scientist
professor at Charles Darwin University, Australia, and Director of the Parameterized Complexity Research Unit (PCRU). He has taught in the United States, Canada
Michael_Fellows
Limited form of tree data structure
Press. p. 66. ISBN 978-1-4200-4482-9. J. Flum; M. Grohe (2006). Parameterized Complexity Theory. Springer. p. 245. ISBN 978-3-540-29953-0. Tamassia, Michael
Binary_tree
1985 video game
Clickomania is hard even in the 2-column 2-colour case, as well as parameterized complexity results on determining whether an instance of size n is solvable
SameGame
Mathematical function generalizing the determinant and permanent
b(\lambda )} is unbounded, then under standard assumptions from parameterized complexity theory no polynomial-time algorithm exists. Moreover, if b ( λ
Immanant
Structure-preserving correspondence between node-link graphs
language of parameterized complexity, this formally states that the homomorphism problem in G {\displaystyle {\mathcal {G}}} parameterized by the size
Graph_homomorphism
Category of routing problem minimizing total distance and time
Gutin, Gregory; Muciaccia, Gabriele; Yeo, Anders (2013-11-18). "Parameterized complexity of k-Chinese Postman Problem". Theoretical Computer Science. 513:
Arc_routing
iterative compression, a more general tool for many other parameterized algorithms. The parameterized algorithms known for these problems take nearly-linear
Odd_cycle_transversal
Geometry problem on grid points
of algorithms for finding the exact optimal solution by using parameterized complexity, in which algorithms are analyzed not only in terms of the input
No-three-in-line_problem
On linear-time algorithms for graph logic
R. (2013), "Chapter 13: Courcelle's theorem", Fundamentals of parameterized complexity, Texts in Computer Science, London: Springer, pp. 265–278, CiteSeerX 10
Courcelle's_theorem
Topics referred to by the same term
exponential The natural parameter in parameterized complexity, describing a computational problem that is parameterized by its output value Natural exponential
Natural parameter (disambiguation)
Natural_parameter_(disambiguation)
Graph drawing with vertices in horizontal layers
Nishimura, N.; Ragde, P.; Rosamond, F.; Whitesides, S. (2008), "On the parameterized complexity of layered graph drawing", Algorithmica, 52 (2): 267–292, doi:10
Layered_graph_drawing
Edges that hit all cycles in a graph
optimization, as one is the complement set of the other. However, for parameterized complexity and approximation, they differ, because the analysis used for those
Feedback_arc_set
German professor of computer science (1966–2022)
science, known for his research in computational complexity theory, especially in parameterized complexity, graph theory, computational social choice, and
Rolf_Niedermeier
Dutch computer scientist
University. Bodlaender is known for his work on graph algorithms and parameterized complexity and in particular for algorithms relating to tree decomposition
Hans_L._Bodlaender
Electoral system with lottery among ballots
with a positive probability); There are algorithms with tractable parameterized complexity, where the parameters are: number of objects, number of alternatives
Random_ballot
Graph coloring with equal color classes
restricted to special classes of graphs or from the point of view of parameterized complexity. Bodlaender & Fomin (2005) showed that, given a graph G and a number
Equitable_coloring
Canadian computer scientist and mathematician
treewidth and queue number, and for the use of these parameters in the parameterized complexity of graph drawing. She is a professor of electrical engineering
Vida_Dujmović
to be solvable in polynomial time through the analysis of their parameterized complexity. These include: Dualization of CNF or DNF formulas in which each
Monotone_dualization
Turkish-born Norwegian computer scientist
research on graph algorithms, sparse matrix computations, and parameterized complexity. Until July 2025, she was the deputy rector of the University of
Pinar_Heggernes
Representation of a graph as a path graph "thickened" by some amount
ISBN 0-7695-2468-0, S2CID 13238254. Downey, Rod G.; Fellows, Michael R. (1999), Parameterized Complexity, Springer-Verlag, ISBN 0-387-94883-X. Dujmović, V.; Fellows, M
Pathwidth
Topics referred to by the same term
programming, a software development methodology XP (class), a complexity class in parameterized complexity Xanthelasma palpebrarum, a cholesterol deposit in the
XP
Set of hypergraph nodes to which every hyperedge is connected
doi:10.1016/j.jcss.2007.06.019. Flum, Jörg; Grohe, Martin (2006). Parameterized Complexity Theory. Springer. ISBN 978-3-540-29952-3. Retrieved 2025-07-30
Vertex_cover_in_hypergraphs
Multiple-winner electoral system
impractical to calculate by hand for many seats. From the perspective of parameterized complexity, the problem of computing PAV is theoretically difficult outside
Proportional_approval_voting
Subfield of mathematical optimization
run in polynomial time and find a solution that is close to optimal parameterized approximation algorithms that run in FPT time and find a solution close
Combinatorial_optimization
Type of approximation algorithm
QPTAS. A QPTAS has time complexity npolylog(n) for each fixed ε > 0. Furthermore, a PTAS can run in FPT time for some parameterization of the problem, which
Polynomial-time approximation scheme
Polynomial-time_approximation_scheme
Combinatorial reconfiguration problem
(2015), "Parameterized complexity of graph constraint logic", in Husfeldt, Thore; Kanj, Iyad (eds.), 10th International Symposium on Parameterized and Exact
Nondeterministic constraint logic
Nondeterministic_constraint_logic
Maximum size of an independent set of the matroid
form a forest. Several authors have studied the parameterized complexity of graph algorithms parameterized by this number. In linear algebra, the rank of
Matroid_rank
Subsequent research has considered the approximation ratio and parameterized complexity of the weighted problem. In the unweighted strong connectivity
Strong connectivity augmentation
Strong_connectivity_augmentation
Type of computational problem
Raman, Venkatesh; Sahlot, Vibha; Saurabh, Saket (2020-01-01). "Parameterized Complexity of Geometric Covering Problems Having Conflicts". Algorithmica
Covering_problems
Austrian computer scientist
computer scientist who works on the areas of algorithms, computational complexity, theoretical computer science, and more specifically on propositional
Stefan_Szeider
Complexity class
In computational complexity theory, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. Somewhat more precisely
NP-completeness
Size of biclique cover of a graph
169–173, MR 0657202. Downey, Rod; Fellows, Michael R. (1999), Parameterized complexity, Springer, ISBN 0-387-94883-X. Ene, Alina; Horne, William G.; Milosavljevic
Bipartite_dimension
computer science Parameterized complexity Proof complexity Quantum complexity theory Structural complexity theory Computational complexity of mathematical
MAXEkSAT
Abstraction of graph shortest cycles
matroid is W[1]-hard when parameterized by the girth or by the rank of the matroid, but fixed-parameter tractable when parameterized by a combination of the
Matroid_girth
Algorithmic problem in order theory
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
Betweenness_problem
Graph width parameter used in graph theory
Rank-width is a graph width parameter used in graph theory and parameterized complexity, and defined using linear algebra. It is defined from hierarchical
Rank-width
in polynomial time. Betzler, Slinko and Uhlmann investigate the parameterized complexity of winner determination of the dissatisfaction-based variants:
Fully proportional representation
Fully_proportional_representation
exponential time hypothesis and using it to determine the exact parameterized complexity of several important variants of the Boolean satisfiability problem
Nerode_Prize
Notion in computational complexity theory
These are the types of reduction used to prove #P-completeness. In parameterized complexity, FPT parsimonious reductions are used; these are parsimonious reductions
Parsimonious_reduction
Distance of a graph from a split graph
computed in linear time. The splittance of a graph has been used in parameterized complexity as a parameter to describe the efficiency of algorithms. For instance
Splittance
the system. In the terminology of parameterized complexity, this implies that all these problems suitably parameterized, and in particular l × m × n table
Graver_basis
Number of cops needed to catch a robber on a graph
the cop number of a given graph is EXPTIME-hard, and hard for parameterized complexity. The cop-win graphs are the graphs with cop number equal to one
Cop_number
Combinatorial optimization problem
dimension, k-Center is still W[1]-hard but it is possible to obtain a parameterized approximation scheme. This is even possible for the variant with vertex
Metric_k-center
American computer scientist
the University of California, San Diego, specializing in computational complexity theory. Impagliazzo received a BA in mathematics from Wesleyan University
Russell_Impagliazzo
Interdisciplinary theory behind quantum computing
circuit model and represents quantum programs as ordered sequences of parameterized operations, including gates, measurements, resets, and real-time classical
Quantum_information_science
Style of computer programming
professional library design. The techniques were further improved and parameterized types were introduced in the influential 1994 book Design Patterns.
Generic_programming
Australian mathematician
co-author of seven books: Parameterized Complexity (with Michael Fellows, Springer, 1999) Algorithmic Randomness and Complexity (with D. Hirschfeldt, Springer
Rod_Downey
Topics referred to by the same term
of the South Korea women's national football team Eun Jung Kim (parameterized complexity), South Korean computer scientist and mathematician Also spelled
Kim_Eun-jung
the parameterized complexity of biclique cover and partition", in Guo, Jiong; Hermelin, Danny (eds.), 11th International Symposium on Parameterized and
Graham–Pollak_theorem
Operation in graph theory
(2016-08-17). "Minimum Degree up to Local Complementation: Bounds, Parameterized Complexity, and Exact Algorithms". Algorithms and Computation. Lecture Notes
Local_complementation
American computer scientist
explicitly constructed; this work was foundational to the field of parameterized complexity. He has also collaborated with scientists at Oak Ridge National
Michael_Langston
mathsocsci.2019.07.005. ISSN 0165-4896. S2CID 143421680. Aditya Kabra. "Parameterized Complexity of Minimum k Union Problem". MS Thesis. Theorem 3.2.5. This is
Hall_violator
1994 software engineering book
authors admit that delegation and parameterization are very powerful but add a warning: "Dynamic, highly parameterized software is harder to understand
Design_Patterns
Maximum number of colors obtainable by a greedy graph coloring algorithm
in polynomial time for trees, and is fixed-parameter tractable when parameterized by both the treewidth and the Grundy number, although (assuming the
Grundy_number
2D geometric minimization problem
Kolay, Sudeshna; Meesum, S.M.; Saurabh, Saket (January 2017). "Parameterized complexity of Strip Packing and Minimum Volume Packing". Theoretical Computer
Strip_packing_problem
Vertex adjacent to all others in a graph
Fedor V.; Golovach, Petr A.; Thilikos, Dimitrios M. (2021), "Parameterized complexity of elimination distance to first-order logic properties", 36th
Universal_vertex
Any finite subset of an algebraic curve has a linkage which traces it
angles. Another source of complexity is the generality of Kempe's application to all algebraic curves. By focusing on parameterized algebraic curves, dual
Kempe's_universality_theorem
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
Boy/Male
Indian, Punjabi, Sikh
Embodiment of Loving Devotion
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Friend of City
Boy/Male
Arabic, Muslim
Gold Lamp
Boy/Male
Hebrew Italian
God is high.
Boy/Male
American, Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Modern, Sanskrit, Sindhi, Tamil, Telugu
King; Intelligent; The Sacred Syllable Om; Lord Vishnu; Sacred Syllable Om; Symbol; Workship; Gentle; Jolly; Wonderful; Happiness; Name of Lord Ganesh; The King
Boy/Male
Hindu
Heard of God, Name of God
Surname or Lastname
English
English : variant of Harless. This name is found chiefly in OH.
Girl/Female
Arabic, Muslim, Pashtun
Ear Ring
Boy/Male
Australian, Irish
Little; Fire; Cloud
Boy/Male
Hindu, Indian, Marathi
Marine; A King
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
PARAMETERIZED COMPLEXITY
n.
The state of being complex; intricacy; entanglement.
n.
That which is complex; intricacy; complication.
n.
An assemblage of parts or organs, either in animal or plant, essential to the performance of some particular function or functions which as a rule are of greater complexity than those manifested by a single organ; as, the capillary system, the muscular system, the digestive system, etc.; hence, the whole body as a functional unity.
a.
Of or pertaining to katabolism; as, katabolic processes, which give rise to substances (katastates) of decreasing complexity and increasing stability.
n.
The state or quality of being intricate or entangled; perplexity; involution; complication; complexity; that which is intricate or involved; as, the intricacy of a knot; the intricacy of accounts; the intricacy of a cause in controversy; the intricacy of a plot.
n.
The state of being complex; complexity.
n.
The state of being complex; complexity.
n.
The act or process of complicating; the state of being complicated; intricate or confused relation of parts; entanglement; complexity.
n.
A rearrangement or concentration of the different constituents of one or more substances into a distinct and definite compound of greater complexity and molecular weight, often resulting in an increase of density, as the condensation of oxygen into ozone, or of acetone into mesitylene.
pl.
of Complexity
n.
Complexity.