M5140 Graph Theory

Faculty of Science
Autumn 2004
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Josef Niederle, CSc. (lecturer)
Guaranteed by
doc. RNDr. Josef Niederle, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Josef Niederle, CSc.
Timetable
Fri 14:00–15:50 A107
  • Timetable of Seminar Groups:
M5140/01: Fri 16:00–16:50 B003, J. Niederle
Prerequisites (in Czech)
! M5145 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
there are 8 fields of study the course is directly associated with, display
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., nezměn. vyd. Praha: SNTL - Nakladatelství technické literatury, 1989, 286 s. info
  • NEŠETŘIL, Jaroslav. Teorie grafů. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1979, 316 s. URL info
  • PLESNÍK, Ján. Grafové algoritmy. 1. vyd. Bratislava: Veda, 1983, 343 s. info
  • FUCHS, Eduard. Kombinatorika a teorie grafů. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1986, 138 s. info
  • NEŠETŘIL, Jaroslav. Kombinatorika. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1983, 173 s. URL info
Assessment methods (in Czech)
Zkouška je písemná. Účast na cvičení je povinná, jsou povoleny dvě neomluvené neúčasti nebo pozdní příchody.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2004, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2004/M5140