Constructive Combinatorics

Summer 2018


Instructor

Lectures

Topics and Prerequisites

Final Exam and Requirements

Notes and Exercises
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Instructor

Instructor

Tibor Szabó
Arnimallee 3, Rm 211a
szabo at math dot fu-berlin dot de
838-75217
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Lectures

Lectures and exercises will take place 10:30am to 12pm on Mondays (in SR 051, Takustr 9) and 12:30pm to 14pm on Wednesdays (in SR 130, Arnimallee 3.

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Topics and Prerequisites

Topics

We will study extremal constructions for Turán- and Ramsey-type problems in combinatorics. These constructions shall make use of finite fields, projective planes, algebra, and probability. We will also study quasirandom graphs through graph eigenvalues, as well as applications of the discrete Fourier transform.

Prerequisites

Basic extremal graph theory, combinatorics, algebra, probability, and calculus.
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Final Exam and Requirements

Final Exam

The grade for this course is based solely on the final exam. There will be oral exams, offered either in July, directly after the end of lectures, or in September/October. During the exam, you should expect to encounter three different types of exercises: material from lectures, homework exercises, and new exercises.

Requirements

A full description of the formalities of the course and the requirements for successfully completing the course can be found here.
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Covered Material and Exercises

Notes

As the course progresses, course notes will be posted here .

Exercises

Homework assignments will be posted below, and should be submitted every even week before the Wednesday exercise session (before 12:30pm).

Assignment Due date
Sheet 1 (24.04: Corrections to Exercise 4) 25/4/2018
Sheet 2 9/5/2018
Sheet 3 28/5/2018
Sheet 4 5/6/2018
Sheet 5 20/6/2018
Sheet 6 4/7/2018
Sheet 7 18/7/2018
Bonus 30/7/2018
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