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.
SF2740 Graph Theory 7.5 credits
Choose semester and course offering
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Application
For course offering
Autumn 2023 Start 28 Aug 2023 programme students
Application code
50454
Content and learning outcomes
Course contents
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.
Literature and preparations
Specific prerequisites
English B / English 6
Completed basic course SF1610 Discrete Mathematics, SF1662 Discrete Mathematics, SF1679 Discrete Mathematics or SF1688 Discrete Mathematics.
Recommended prerequisites
Completed basic course in Discrete Mathematics.
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
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
Opportunity to raise an approved grade via renewed examination
Examiner
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.