Parameterized complexity theory

  • Algorithm books

    Parameterized complexity was introduced in the 90's by Downey and Fellows and proposed a more refined analysis of computational problems.
    The key idea is to study the different ways key secondary parameters may be interleaved with input size in the computational complexity of algorithms..

  • What is a parameterized algorithm?

    Parameterized algorithms are a method for the exact solution of hard problems.
    Other such methods: ▶ Heuristics. ▶ Simulated annealing. ▶ Approximation algorithms..

  • What is a parameterized problem?

    Problems in which some parameter k is fixed are called parameterized problems.
    A parameterized problem that allows for such an fpt-algorithm is said to be a fixed-parameter tractable problem and belongs to the class FPT, and the early name of the theory of parameterized complexity was fixed-parameter tractability..

  • What is meant by parameterized problems?

    Problems in which some parameter k is fixed are called parameterized problems.
    A parameterized problem that allows for such an fpt-algorithm is said to be a fixed-parameter tractable problem and belongs to the class FPT, and the early name of the theory of parameterized complexity was fixed-parameter tractability..

  • What is the FPT method?

    The first passage time (FPT) is a parameter often used to describe the scale at which patterns occur in a trajectory.
    For a given scale r, it is defined as the time required by the animals to pass through a circle of radius r..

  • What is the introduction of parameterized complexity?

    Parameterized complexity was introduced in the 90's by Downey and Fellows and proposed a more refined analysis of computational problems.
    The key idea is to study the different ways key secondary parameters may be interleaved with input size in the computational complexity of algorithms..

  • Why do we need computational complexity?

    Computer scientists use mathematical measures of complexity that allow them to predict, before writing the code, how fast an algorithm will run and how much memory it will require.
    Such predictions are important guides for programmers implementing and selecting algorithms for real-world applications..

  • Problems in which some parameter k is fixed are called parameterized problems.
    A parameterized problem that allows for such an fpt-algorithm is said to be a fixed-parameter tractable problem and belongs to the class FPT, and the early name of the theory of parameterized complexity was fixed-parameter tractability.
Parameterized complexity theory offers a framework for a refined analysis of hard algorithmic problems. Instead of expressing the running time of an algorithm as a function of the input size only, running times are expressed with respect to one or more parameters of the input instances.
Parameterized complexity theory is a recent branch of computational complexity theory that provides a framework for a refined analysis of hard algorithmic problems. Google BooksOriginally published: 2006Authors: Jörg Flum and Martin Grohe
Parameterized complexity theory offers a framework for a refined analysis of hard algorithmic problems. Instead of expressing the running time of an algorithm as a function of the input size only, running times are expressed with respect to one or more parameters of the input instances.

Korean computer scientist



Eun Jung Kim is a South Korean computer scientist and graph theorist specializing in parameterized complexity, parameterized algorithms for constraint satisfaction problems, and width parameters in graphs and matroids.
She is a researcher for the French National Centre for Scientific Research (CNRS), associated with Paris Dauphine University.

Categories

Papadimitriou complexity theory
Parallel complexity theory
Quantum complexity theory
Radboud complexity theory
Theory of ultimate complexity
Complexity theory safety
Satisfiability complexity theory
Complex variable theory
Complexity theory model
Complexity theory obesity
Observation complexity theory
The complexity problem
Complexity theory benefits
Complexity theory betyder
Complexity theory betekenis
Complexity theory cellular automata
Complexity theory defi
Geometric complexity theory
Geometric complexity theory iv
Complexity theory in health promotion