M5145 Graph Theory

Faculty of Science
Spring 2009
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Eduard Fuchs, CSc. (lecturer)
RNDr. Pavel Šišma, Dr. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics - Departments - Faculty of Science
Timetable
Thu 14:00–15:50 01031
  • Timetable of Seminar Groups:
M5145/01: Mon 11:00–11:50 01031, P. Šišma
Prerequisites (in Czech)
M1555 Combinatorics && ! M5140 Graph Theory && !( FI:MA010 Graph Theory )
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
This is an introductory course in graph theory. Basic concepts and their properties as well as the formulation of simple graph problems and standard effective algorithms for solving them are presented.
Syllabus
  • Basic concepts
  • Paths
  • Eulerian and Hamiltonian graphs
  • Trees
  • Spanning trees
  • The shortest-path problem
  • Network flow
  • Bipartite graphs and matchings
  • Connectivity in graphs
  • Planar graphs
Literature
  • KUČERA, Luděk. Kombinatorické algoritmy. 2. vyd. Praha: Státní nakladatelství technické literatury, 1989. 286 s. info
  • NEŠETŘIL, Jaroslav. Teorie grafů [Nešetřil, 1979]. 1. vyd. Praha: SNTL - Nakladatelství technické literatury, 1979. 316 s. info
  • PLESNÍK, Ján. Grafové algoritmy. 1. vyd. Bratislava: Veda, 1983. 343 s. info
  • NEŠETŘIL, Jaroslav. Kombinatorika. I, Grafy. 1. vyd. Praha: Státní pedagogické nakladatelství, 1983. 173 s. info
  • FUCHS, Eduard. Diskrétní matematika pro učitele. 1st ed. Brno: Masarykova univerzita, 2001. 178 pp. ISBN 80-210-2703-7. info
  • FUCHS, Eduard. Diskrétní matematika a Teorie množin pro učitele (CD-ROM) (Discrete Mathematics and Set Theory for Teachers). Brno: Masarykova univerzita, 2000. 890 pp. Matematika na CD-ROM, sv. 2. ISBN 80-210-2463-1. info
Assessment methods
Oral exam
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008.
  • Enrolment Statistics (recent)
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