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401-3052-10L 9 Credits BSC , MSC , WBZ D-ITET , D-INFK , D-MATH , D-PHYS

Graph Theory

Lecturers & Examiners: Prof. Dr. Benjamin Sudakov
VVZ CR 4.2

Last Updated: 2026-06-03 00:14:10

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
BSC , MSC , WBZ
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 180 minutes
Aids
Students are allowed to bring ONLY a printed copy of the lecture notes with no extra writing (highlighting and blank post-its are allowed).
The exams for the two course units 401-3052-10L (core course 4V+1U) and 401-3052-05L (elective course 2V+0.5U) take place simultaneously (3 hours).

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