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

In this course, students will get familiar with combinatorics through selected exciting ideas in theoretical computer science (in particular, algorithms and complexity). You will obtain a basic understanding of various types of combinatorial objects and their relationships. Upon completing the course you are able to apply basic combinatorial analysis and proof techniques.

Credits: 5

Schedule: 19.04.2022 - 25.05.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Parinya Chalermsook

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:

    • Forbidden Structures, Geometry, and Data structures: Davenport-Schinzel Sequences, Zarankiewitz problems 
    • Algorithms through Ramsey-type results: Independent set and graph coloring 
    • Concentration Inequalities: Chernoff bound and Martingale, applications in algorithms design. 
    • Lovasz Local Lemma: Algorithmic Proofs and applications in routing. 
    • Set systems, VC-dimension, epsilon-nets, and discrepancies: Applications in computational geometry. 

Assessment Methods and Criteria
  • valid for whole curriculum period:

    Contribution to the course wiki. Exercises. Independent project. 

Workload
  • valid for whole curriculum period:

    Lectures. Exercise sessions. Independent work.

DETAILS

Study Material
  • valid for whole curriculum period:

    Lecture notes and selected book chapters.  

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Spring V

    2021-2022 Spring V

    Course Homepage: https://mycourses.aalto.fi/course/search.php?search=CS-E4555

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