I062 Randomized Algoritms and Computations

Faculty of Informatics
Spring 2002
Extent and Intensity
2/0. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Jozef Gruska, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Jozef Gruska, DrSc.
Timetable
Wed 10:00–11:50 B411
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
Syllabus
  • 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.
  • 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
Language of instruction
Czech
Further Comments
The course is taught once in two years.
The course is also listed under the following terms Spring 1998, Spring 1999, Spring 2000.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/spring2002/I062