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 opetussuunnitelma 2014–2016
Selaamasi opetussuunnitelma ei ole enää voimassa. Tarkista tiedot voimassa olevasta opetussuunnitelmasta.
MATE5312 Topics in Combinatorics on Words 5 op
Organised by
Person in charge
Department of Mathematics and Statistics, Juhani Karhumäki
Planned organizing times
Period(s) I II III IV
2015–2016 X
Preceding studies

Learning outcomes

to understand more advanced topics on combinatorics on words and as a tool to become an independent researcher


A few advanced topics on Combinatorics on Words are considered, such as unavailable regularities, dimension properties of words, etc. Part of the course is to point out open problems.

Teaching methods

Teaching method Contact Online
Lectures 28 h 0 h
Exercises 14 h 0 h

Teaching language


Modes of study

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


Numeric 0-5.

Study materials

Lecture notes; M. Lothaire: Combinatorics on words, Addison-Wesley,
1983; C. Choffrut and J. Karhumäki: Combinatorics of words, in Handbook of Formal Languages
Vol. 1 (G. Rozenberg and A. Salomaa, Eds.), pp. 329-438. Springer, Berlin 1997; M.
Lothaire: Algebraic Combinatorics on Words (Encyclopedia of Mathematics and its Applications,
vol. 90).Cambridge University Press 2002; Recent articles.

Belongs to following study modules

Matematiikan ja tilastotieteen laitos
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Matematiikan ja tilastotieteen laitos