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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Arkistoitu opetusohjelma 2015–2016
Selaat vanhentunutta opetusohjelmaa. Voimassa olevan opetusohjelman löydät täältä.
MATE5230 Graph Theory 10 ECTS
Period I Period II Period II Period IV
Language of instruction
Type or level of studies
Advanced studies
Course unit descriptions in the curriculum
Matematiikan tutkinto-ohjelma (FM)
Department of Mathematics and Statistics

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.

Teacher responsible

Tero Harju

Homepage URL


Lectures (no teaching week 8)
Tue 5-Jan-2016 - 19-Apr-2016 weekly at 12-14, M3, Quantum
Thu 14-Jan-2016 - 21-Apr-2016 weekly at 12-14, M3, Quantum
Exercises (no teaching week 8)
Wed 13-Jan-2016 - 20-Apr-2016 weekly at 8-10, M2, Quantum