Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

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Archived Curricula Guide 2014–2016
Curricula Guide is archieved. Please refer to current Curricula Guides
MATE5230 Graph Theory 10 ECTS
Organised by
Person in charge
Department of Mathematics and Statistics, Tero Harju
Planned organizing times
Period(s) I II III IV
2015–2016 X X

Learning outcomes

Graph theory belongs to discrete mathematics. It has a wide range of application in mathematics, linguistics, genetics and other areas. In the theory of communication networks it is the basic tool of research. A student passing the course should be able to solve discrete mathematical problems that can be represented in the graph theoretic terms.


This is an introductory course in the theory of graphs covering connectivity (Menger's theorem), matchings (Tutte's theorem), colouring (Vizing's theorem), planarity (Kuratowski's theorem), labelled directed graphs, and network flows (Ford-Fulkerson theorem).

Teaching methods

Teaching method Contact Online
Lectures 56 h 0 h
Exercises 26 h 0 h

Teaching language


Modes of study

Option 1
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Exercises Exercise(s)
  • In English
Midterm examination Written exam
  • In English
Option 2
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Written exam
  • In English
Exercises Exercise(s)
  • In English


Numeric 0-5.

Study materials

Lecture Notes. Recommended literature: Wilson, R.J.: Introduction to Graph Theory, 3rd edition.

Belongs to following study modules

Department of Mathematics and Statistics
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Department of Mathematics and Statistics
DP in Mathematics and Statistics
DP in Mathematics
Finnish Study Modules
DP in Statistics