Coursebooks

Graph theory

MATH-360

Lecturer(s) :

Maffucci Riccardo Walter

Language:

English

Summary

The course aims to introduce the basic concepts and results of modern Graph Theory with special emphasis on those topics and techniques that have proved to be applicable in theoretical computer science and in practice.

Content

1. Graphic sequences

2. Connectivity

3. Eulerian and Hamiltonian graphs

4. Forests and spanning trees

5. Planarity

6. Colourings

7. Extremal Graph Theory

Keywords

Graphs, isomorphism, complements, complete, bipartite, products, graphic sequences, connected, paths, circuits, cycles, Eulerian, Hamiltonian, trees, spanning trees, planar, maximal planar, polyhedra, colourings, forbidden graphs, extremal graphs.

Learning Prerequisites

Recommended courses

Mandatory for IN/SC: Analyse III, Physique générale I, Physique générale II, Probability and statistics

Learning Outcomes

By the end of the course, the student must be able to:

Assessment methods

WRITTEN EXAM

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Resources

Bibliography

Ressources en bibliothèque

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14   MAA330 
14-15    
15-16   MAA330 
16-17    
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German