IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2008
Extent and Intensity
2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ivana Černá, CSc. (lecturer)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Timetable
Mon 14:00–15:50 D2
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 19 fields of study the course is directly associated with, display
Course objectives
The course expands on courses Algorithm design I and Algorithm design II. It focuses on the design of algorithms for hard computing tasks. The course systematically explains, combines, and compares the main possibilities for attacking hard algorithmic problems like randomization, heuristics, approximation and local search.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algoirithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms, local search, relaxation to linear programming.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization.
  • Heuristics> simulated annealing, genetic algorithms.
Literature
  • VAZIRANI, Vijay V. Approximation algorithms. Berlin: Springer, 2001, xix, 378. ISBN 3540653678. info
  • MOTWANI, Rajeev and Prabhakar RAGHAVAN. Randomized algorithms. Cambridge: Cambridge University Press, 1995, xiv, 476. ISBN 0521474655. info
  • HROMKOVIČ, Juraj. Algorithmics for hard problems : introduction to combinatorial optimization, randomization, approximation, and heuristics. Berlin: Springer, 2001, xi, 492. ISBN 3540668608. info
Assessment methods
Written test
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Teacher's information
https://is.muni.cz/auth/elearning/warp.pl?fakulta=1433;obdobi=3523;kod=IA101;qurl=%2Fel%2F1433%2Fpodzim2006%2FIA101%2Findex.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2008, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2008/IA101