SF2740 Graph Theory 7.5 credits


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Offering and execution

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Course information

Content and learning outcomes

Course contents *

Basic concepts of graph theory: degree, distance, diameter, matching etc. Theory for matchings, in particular for bipartite graphs. Structure theorems about 2- and 3- connected components of graphs, also Mader’s and Menger’s Theorems. Theory about minors, planarity. Coloring of various kinds, Perfect graphs, Hadwiger’s conjecture, random graphs and the probabilistic method. 

Intended learning outcomes *

After the course the student should be able to

  • explain basic concepts. theorems and proofs within the parts of graph theory described by the course content,
  • use basic concepts. methods and theorems in graph theory to solve problems and communicate with the help of mathematical language.

Course Disposition

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Literature and preparations

Specific prerequisites *

Completed basic course SF1610 Discrete Mathematics, SF1662 Discrete Mathematics, SF1679 Discrete Mathematics or SF1688 Discrete Mathematics.   

Recommended prerequisites

Completed basic course in Discrete Mathematics.


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Announced no later than 4 weeks before the start of the course on the course web page.

Examination and completion

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • TEN1 - Examination, 7.5 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. The examiner may allow another form of examination for re-examination of individual students.

Other requirements for final grade *

Continuous examination with assignments and presentation of project.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Johan Håstad

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2740

Offered by


Main field of study *


Education cycle *

Second cycle

Add-on studies

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Johan Håstad (johanh@kth.se)

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.