Course: Combinatorics Seminar

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Course title Combinatorics Seminar
Course code KMI/KOMBI
Organizational form of instruction Seminar
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Konečný Jan, doc. RNDr. Ph.D.
Course content
Basic concepts of linear order Lexicographic order and its relationship to backtracking Partition trees as conceptual tool for combinatorics Sorting, practical techniques and interesting data structures Basic combinatorial lists, enumeration combinatorics Ordered and unordered set partitions Symmetry, basic notion of group theory, orbit enumeration Classical combinatorics: generating functions, inclusion-exclusion, Möbius inversion, network flows.

Learning activities and teaching methods
Lecture, Demonstration
Learning outcomes
The students become familiar with basic concepts of combinatorial mathematics.

Prerequisites
unspecified

Assessment methods and criteria
Oral exam

Recommended literature
  • Graham R. L., Knuth D. E., Patashnik O. (1994). Concrete Mathematics, 2nd ed..
  • Charalambos A. Charalambides. (2002). Enumerative Combinatorics.
  • Mitchell M. An Introduction to Genetic Algorithms.
  • Polkowski L. (2002). Rough Sets: Mathematical Foundations.
  • Williamson S. G. (1985). Combinatorics for Computer Science.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Computer Science (2020) Category: Informatics courses 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Computer Science - Specialization in Programming and Software Development (2021) Category: Informatics courses 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Computer Science - Specialization in General Computer Science (2021) Category: Informatics courses 2 Recommended year of study:2, Recommended semester: Summer