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401-3052-DRL 2 Credits DR D-MATH
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Graph Theory

Lecturers & Examiners: Prof. Dr. Benjamin Sudakov
Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.
VVZ CR n/a

Last Updated: 2026-02-05 16:22:19

Abstract

Basics, trees, Caley's formula, matrix tree theorem, connectivity, theorems of Mader and Menger, Eulerian graphs, Hamilton cycles, theorems of Dirac, Ore, Erdös-Chvatal, matchings, theorems of Hall, König, Tutte, planar graphs, Euler's formula, Kuratowski's theorem, graph colorings, Brooks' theorem, 5-colorings of planar graphs, list colorings, Vizing's theorem, Ramsey theory, Turán's theorem

Objective

The students will get an overview over the most fundamental questions concerning graph theory. We expect them to understand the proof techniques and to use them autonomously on related problems.

Resources

Lecture Notes

Lecture will be only at the blackboard.

Literature

West, D.: "Introduction to Graph Theory" Diestel, R.: "Graph Theory" Further literature links will be provided in the lecture.

Learning Materials (Links)

General Information

Language
English
Levels
DR
Frequency
Yearly recurring

Examination

Type
ungraded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
lecture Graph Theory
  • Wed 10:15-12:00 (HG E 5)
  • Thu 10:15-12:00 (HG F 3)
4 h weekly
exercise Graph Theory
  • Fri 12:15-13:00 (HG E 1.1)
  • Fri 12:15-13:00 (ML F 39)
  • Fri 16:15-17:00 (HG E 1.1)
1 h weekly

Offered In