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Course, academic year 2018/2019
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Introduction to Parameterized Algorithms - NTIN103
Title in English: Introduction to Parameterized Algorithms
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: English
Teaching methods: full-time
Additional information: https://sites.google.com/site/aefeldmann/teaching/introduction-to-parameterized-algorithms-winter-2018
Guarantor: Andreas Emil Feldmann, Dr.
Class: DS, teoretická informatika
DS, diskrétní modely a algoritmy
Informatika Mgr. - Teoretická informatika
Informatika Mgr. - Diskrétní modely a algoritmy
Classification: Informatics > Discrete Mathematics, Optimalization, Theoretical Computer Science
Annotation
Last update: T_KAM (18.04.2017)
Parameterized algorithmics analyzes the runtime in finer detail than classical complexity theory: instead of expressing the runtime as a function of the input size only, the dependence on a parameter of the input is taken into account. The aim is to isolate any fast growth of the runtime to a parameter, while the remaining growth of the time is kept low. Apart from giving a deeper theoretical understanding of the complexity of a problem, this can also lead to efficient (practical) algorithms if the parameter describes a property of the inputs, for which the parameter is typically small.
Literature
Last update: T_KAM (18.04.2017)

Marek Cygan, Fedor V. Fomin, Lukasz Kowalik, Daniel Lokshtanov, Dániel Marx, Marcin Pilipczuk, Michal Pilipczuk, Saket Saurabh: Parameterized Algorithms. Springer 2015, ISBN 978-3-319-21274-6

Syllabus
Last update: Andreas Emil Feldmann, Dr. (03.09.2018)
  • kernelization
  • bounded search trees
  • iterative compression
  • treewidth
  • the W-hierarchy
  • the exponential-time hypothesis
  • kernelization lower bounds
  • parameterized approximation

 
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