# Course Information

česky | in English

## IA062 Randomized Algorithms and Computations

Faculty of Informatics
Spring 2019
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Alternate Types of Completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Jozef Gruska, DrSc. (lecturer)
RNDr. Matej Pivoluska, Ph.D. (seminar tutor)
Bc. Michal Ajdarów (seminar tutor)
Mgr. Luděk Matyska (seminar tutor)
Supervisor
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science - Faculty of Informatics
Contact Person: prof. RNDr. Jozef Gruska, DrSc.
Supplier department: Department of Computer Science - Faculty of Informatics
Prerequisites
No special requiremnts are neede.
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 the course is directly associated with
there are 19 fields of study the course is directly associated with, display
Course objectives
The aim: randomized algorithms and methods are becoming one of the key tools for an effective solution of a variety of problems in informatics and its aplications practically in all theoretical and aplication areas. After finishing the lecture student will be able: To manage basic techniques to design randomized algorithms; to understand differences concerning power of deterministic and randomized algorithms; to manage basic tools for analysis of randomized algorithms; to work with tail inequalities; to understand power and use of the probabilistic method; to understand power of random walks; to understand power of randomized proofs; to understand basic principles of randomized cryptographic protocols.
Syllabus
• Randomized algorithms and methods.
• Examples of randomized algorithms.
• Methods of game theory.
• Main types of randomized algorithms.
• Randomized complexity classes.
• Chernoff's bounds.
• Moments and deviations.
• Probabilistic methods.
• Markov chains and random walks.
• Algebraic methods.
• Aplications:
• Linear programming.
• Parallel and distributed algoritms.
• Randomization in cryptography.
• Randomized methods in theory of numbers.
Literature
• GRUSKA, Jozef. Foundations of computing. London: International Thompson Computer Press, 1997. xv, 716 s. ISBN 1-85032-243-0. info
• MOTWANI, Rajeev and Prabhakar RAGHAVAN. Randomized algorithms. Cambridge: Cambridge University Press, 1995. xiv, 476. ISBN 0521474655. info
Teaching methods
lectures
Assessment methods
oral exam
Language of instruction
English