MM855: Introduction to Graph Theory
The Study Board for Science
Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N310055102
Assessment: Second examiner: Internal
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Master
STADS ID (UVA): N310055101
ECTS value: 5
Date of Approval: 12-03-2025
Duration: 1 semester
Version: Approved - active
Internal Course Code
Comment
MM855 is taught as part of MM856, and one can therefore only sign up for one of these courses.
Note that MM855 is run in the first half of the fall semester.
Entry requirements
Academic preconditions
Students taking the course are expected to have basic knowledge of graph theory and discrete mathematics, corresponding to the material in the course MM541 (Combinatorial Mathematics).
Course introduction
The aim of the course is to enable the student to review definitions and results from graph theory, which is important in regard to identify mathematical structures from graph theory in concrete examples.
Expected learning outcome
The learning objectives of the course are that the student demonstrates the ability to:
- review definitions and results from graph theory.
- use the theory to solve concrete problems.
- give coherent solutions, arguing why the individual steps hold.
- carry out complete proofs for results from the course curriculum.
- explain connections between results and concepts in graph theory.
- use graph algorithms in order to solve complex problems.
Content
The following main topics are contained in the course: Graphs, trees, distances, matchings in general graphs, paths, cycles, colouring in graphs, Hamilton cycles and directed graphs.
Literature
Examination regulations
Exam element a)
Timing
January
Tests
Written exam
EKA
N310055102
Assessment
Second examiner: Internal
Grading
7-point grading scale
Identification
Student Identification Card - Exam number
Language
Normally, the same as teaching language
Duration
3 hours
Examination aids
All common aids are allowed e.g. books, notes, computer programmes which do not use internet etc.
Internet is not allowed during the exam. However, you may visit the course site in itslearning to open system "DE-Digital Exam". If you wish to use course materials from itslearning, you must download the materials to your computer the day before the exam. During the exam you cannot be sure that all course materials is accessible in itslearning.
ECTS value
5
Indicative number of lessons
Teaching Method
Planned lessons:
Total number of planned lessons: 45
Hereof:
Common lessons in classroom/auditorium: 45
These classes consist of lectures and problem solving.
Other planned teaching activities:
Study the course material and prepare for the weekly exercises, individually or through group work.
Teacher responsible
Timetable
Administrative Unit
Team at Registration
Offered in
Recommended course of study
Transition rules
Transitional arrangements describe how a course replaces another course when changes are made to the course of study.
If a transitional arrangement has been made for a course, it will be stated in the list.
See transitional arrangements for all courses at the Faculty of Science.