MS-E1050 - Graph Theory D, Lecture, 4.9.2023-13.10.2023

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Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

The students will after the course understand the basic invariants of graphs and how they are related by regularity and structural graph theory.

 

Credits: 5

Schedule: 04.09.2023 - 13.10.2023

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Ragnar Freij-Hollanti

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • valid for whole curriculum period:

    Basic properties as connectivity, planarity and minor containment. The Szemerédi regularity lemma and Ramsey theory; the graph minor theorem and the strong perfect graph theorem.

     

Assessment Methods and Criteria

  • valid for whole curriculum period:

    Homework, possibly an exam.

Workload

  • valid for whole curriculum period:

    Lectures and tutored problem solving 36h (3x2h/week, 6 weeks), self-study about 100h.

     

DETAILS

Substitutes for Courses
Prerequisites
SDG: Sustainable Development Goals

    5 Gender Equality

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Language : English

    Teaching Period : 2022-2023 Autumn I
    2023-2024 Autumn I

Rules of Conduct - Students´ Rights and Responsibilities (in force from 1 August 2020)

Aalto University Code of Academic Integrity and Handling Violations Thereof