IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2024
Extent and Intensity
2/0/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
prof. RNDr. Ivana Černá, CSc. (lecturer)
Guaranteed by
prof. RNDr. Ivana Černá, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Wed 25. 9. to Wed 18. 12. Wed 8:00–9:50 B411
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 29 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2024/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2023
Extent and Intensity
2/0/0. 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. Ivana Černá, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Thu 12:00–13:50 A218
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 54 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2022
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. Ivana Černá, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Wed 14:00–15:50 A218
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 54 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2021
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. Ivana Černá, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Wed 15. 9. to Wed 8. 12. Wed 12:00–13:50 A217
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 53 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2020
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. Ivana Černá, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Thu 14:00–15:50 A217
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 53 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2019
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)
RNDr. Jaroslav Bendík, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Ivana Černá, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Thu 10:00–11:50 D2
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 53 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2018
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.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Thu 10:00–11:50 D2
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 24 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2017
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.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Thu 10:00–11:50 D2
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 24 fields of study the course is directly associated with, display
Course objectives
The course expands on courses IB002 Algorithms and Data Structures I and IV003 Algorithms and Data Structures II. It focuses on 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.
Learning outcomes
After enrolling the course students are able to :
- identify algorithmically hard problems,
- identify applications where pseudopolynomial, approximative, randomized, and heuristic algorithms can be succesfully used,
- actively used published pseudopolynomial, approximative, and randomized algorithms and correctly interpret their outcomes,
- design simple pseudopolynomial, approximative, and randomized, algorithms,
- experimentally evaluate heuristic algorithms.
Syllabus
  • Deterministic approaches: pseudo-polynomial-time algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
    not specified
  • KLEINBERG, Jon and Éva TARDOS. Algorithm design. Boston: Pearson/Addison-Wesley, 2006, xxiii, 838. ISBN 0321372913. URL info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2017/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2016
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.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Wed 18:00–19:50 D2
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 24 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 algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2014/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2015
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.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Tue 12:00–13:50 D2
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 24 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 algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2014/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2014
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.
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Mon 12:00–13:50 D2
Prerequisites
Experience with basic techniques for design and analysis of algorithms (recursion, dynamic programming, greedy approach) as well as with basic data structures and algorithms are required.
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 23 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 algorithms, parametrized complexity, branch-and-bound, lowering worst case complexity of exponential algorithms.
  • Approximation approaches: concept of approximation algorithms, classification of optimization problems, stability of approximation, inapproximability, algorithms design. Linear programming as a method for construction of approximative algorithms.
  • Randomized approaches: classification of randomized algorithms and design paradigms, design of randomized algorithms, derandomization, randomization and approximation.
  • Heuristics: local search, simulated annealing, genetic algorithms.
Literature
    recommended literature
  • D. Williansom, D. Shmoys. The Design of Approximation Algorithms. Cambridge, 2011
  • 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
  • CORMEN, Thomas H., Charles Eric LEISERSON and Ronald L. RIVEST. Introduction to algorithms. Cambridge: MIT Press, 1989, xvii, 1028. ISBN 0070131430. info
  • COOK, William. In pursuit of the traveling salesman : mathematics at the limits of computation. Princeton: Princeton University Press, 2012, xiii, 228. ISBN 9780691152707. info
  • CHVÁTAL, Václav. Linear programming. New York: W.H. Freeman, 1983, xiii, 478. ISBN 0716715872. info
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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/el/1433/podzim2014/IA101/index.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2013
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)
RNDr. Nikola Beneš, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
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 23 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
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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%2Fpodzim2010%2FIA101%2Findex.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2012
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)
RNDr. Nikola Beneš, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Supplier department: Department of Computer Science – Faculty of Informatics
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 23 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
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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%2Fpodzim2010%2FIA101%2Findex.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2011
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)
Mgr. Sven Dražan (assistant)
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 23 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
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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%2Fpodzim2010%2FIA101%2Findex.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2010
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 26 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
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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%2Fpodzim2010%2FIA101%2Findex.qwarp
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2009
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 D3
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 26 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
Teaching methods
lectures, individual homeworks and projects aiming at practical skills with designe techniques
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 2008, 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.

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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2007
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)
Mgr. Jiří Šimša (seminar tutor)
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 20 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
  • Hromkovič, Juraj. Algorithmics for Hard Problems. Springer, 2001
  • R. Motwani, R. Prabhakar: Randomized Algorithms. Cambridge University Press, 1995
  • V. Vazirani: Approximation Algorithms. Springer, 2001
Assessment methods (in Czech)
Pisemna zkouska na konci semestru. Reseni ukolu v prubehu semestru.
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 2008, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2006
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)
Mgr. Jiří Šimša (seminar tutor)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Ivana Černá, CSc.
Timetable
Mon 12:00–13:50 D1
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 7 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
  • Hromkovič, Juraj. Algorithmics for Hard Problems. Springer, 2001
  • R. Motwani, R. Prabhakar: Randomized Algorithms. Cambridge University Press, 1995
  • V. Vazirani: Approximation Algorithms. Springer, 2001
Assessment methods (in Czech)
Pisemna zkouska na konci semestru. Reseni ukolu v prubehu semestru.
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 2007, Autumn 2008, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2005
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 12:00–13:50 D3
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 7 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
  • R. Motwani, R. Prabhakar: Randomized Algorithms. Cambridge University Press, 1995
  • V. Vazirani: Approximation Algorithms. Springer, 2001
  • Hromkovič, Juraj. Algorithmics for Hard Problems. Springer, 2001
Assessment methods (in Czech)
Pisemna zkouska na konci semestru. Reseni ukolu v prubehu semestru.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Teacher's information
http://www.fi.muni.cz/usr/cerna/Algoritmika/ia101.html
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2006, Autumn 2007, Autumn 2008, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2004
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 8:00–9:50 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 7 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
  • R. Motwani, R. Prabhakar: Randomized Algorithms. Cambridge University Press, 1995
  • V. Vazirani: Approximation Algorithms. Springer, 2001
  • Hromkovič, Juraj. Algorithmics for Hard Problems. Springer, 2001
Assessment methods (in Czech)
Pisemna zkouska na konci semestru. Reseni ukolu v prubehu semestru.
Language of instruction
Czech
Further Comments
The course is taught annually.
Teacher's information
http://www.fi.muni.cz/usr/cerna/Algoritmika/ia101.html
The course is also listed under the following terms Autumn 2003, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2003
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
Tue 8:00–9:50 B204
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 6 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
  • R. Motwani, R. Prabhakar: Randomized Algorithms. Cambridge University Press, 1995
  • V. Vazirani: Approximation Algorithms. Springer, 2001
  • Hromkovič, Juraj. Algorithmics for Hard Problems. Springer, 2001
Assessment methods (in Czech)
Pisemna zkouska na konci semestru. Reseni ukolu v prubehu semestru.
Language of instruction
Czech
Further Comments
The course is taught annually.
Teacher's information
http://www.fi.muni.cz/usr/cerna/Algoritmika/ia101.html
The course is also listed under the following terms Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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.

IA101 Algorithmics for Hard Problems

Faculty of Informatics
Autumn 2002

The course is not taught in Autumn 2002

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.
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
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
  • Hromkovič, Juraj. Algorithmics for Hard Problems. Springer, 2001
  • 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
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, 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 (recent)