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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2018/2019

Graph theory and combinatorics

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Code Completion Credits Range Language
MI-GAK Z,ZK 5 2+2 Czech
Lecturer:
Štěpán Starosta (guarantor), Tomáš Valla
Tutor:
Štěpán Starosta (guarantor), Tomáš Valla
Supervisor:
Department of Theoretical Computer Science
Synopsis:

The goal of the class is to introduce the most important topics in graph theory, combinatorics, combinatorial structures, discrete models and algorithms. The emphasis will be not only on undestanding the basic principles but also on applications in problem solving and algorithm design. The topics include: generating functions, selected topics from graph and hypergraph coloring, Ramsey theory, introduction to probabilistic method, properties of various special classes of graphs and combinatorial structures. The theory will be also applied in the fields of combinatorics on words, formal languages and bioinformatics.

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:

1. Matoušek, J. - Nešetřil, J. : Kapitoly z diskrétní matematiky. Karolinum Praha, 2010.

2. Valla, T. - Matoušek, J. : Kombinatorika a grafy. ITI Series, 2005.

3. Bollobas, B. : Modern Graph Theory. Springer, 1998. ISBN 0-387-98488-7.

4. Graham, R. L. - Knuth, D. - Patashnik, O. : Concrete Mathematics. Addison-Wesley, 1994. ISBN 978-0-201-55802-9.

Note:
Time-table for winter semester 2018/2019:
Time-table is not available yet
Time-table for summer semester 2018/2019:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
roomTH:A-1242
Starosta Š.
Valla T.

11:00–12:30
(lecture parallel1)
Thákurova 7 (FSv-budova A)
roomTH:A-1242
Starosta Š.
Valla T.

12:45–14:15
(lecture parallel1
parallel nr.101)

Thákurova 7 (FSv-budova A)
Tue
Fri
Thu
Fri
The course is a part of the following study plans:
Data valid to 2019-03-19
For updated information see http://bilakniha.cvut.cz/en/predmet5523206.html