 | Study programme 2023-2024 | Français | |
 | Graphs and Combinatorial Optimisation | ||
Programme component of Master's in Mathematics (MONS) (day schedule) à la Faculty of Science |
| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-M1-SCMATH-019-M | Optional UE | TUYTTENS Daniel | F151 - Mathématique et Recherche opérationnelle |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 36 | 12 | 0 | 0 | 0 | 4 | 4.00 | 1st term |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| I-MARO-011 | Graph Theory and Combinatorial Optimization | 36 | 12 | 0 | 0 | 0 | Q1 | 100.00% |
| Programme component |
|---|
Objectives of Programme's Learning Outcomes
- Have integrated and elaborate mathematical knowledge.
- Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
- Research mathematical literature in an efficient and relevant way.
- Apply innovative methods to solve an unprecedented problem in mathematics or within its applications.
- Mobilise knowledge, and research and analyse various information sources to propose innovative solutions targeted unprecedented issues.
- Appropriately make use of computer tools, as required by developing a small programme.
- Communicate clearly.
- Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
Learning Outcomes of UE
Understand the fundamental notions and problems appearing in graph theory;study the corresponding algorithms;go deeply into algorithmic notions from the algorithm efficiency point of view;understand the fundamental problems and techniques of combinatorial optimization;illustrate some methods on some particular problems;show the utility of algorithms for solving practical problems in scheduling management, logistics,...
UE Content: description and pedagogical relevance
Basic notions of graph theory and data structure; study of classical graph theory problems : trees, shortest paths, connexity, flows;introduction to complexity theory : P and NP classes; study of classical combinatorial optimization problems : knapsack, set covering, travelling salesman; introduction to metaheuristics.
A project/challenge is orgnized and it is part of the content of the AA.
The teaching methods are likely to be adjusted according to the educational context
imposed by the health measures.
Prior Experience
Linear programming; duality; notion of algorithm.
Type of Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| I-MARO-011 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| I-MARO-011 |
|
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| I-MARO-011 | Not applicable |
Recommended Reading
| AA | Recommended Reading |
|---|---|
| I-MARO-011 | Copie de présentation - Partie 1 - Théorie des graphes - D. Tuyttens ,Copie de présentation - Partie 2 - Optimisation combinatoire - D. Tuyttens |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| I-MARO-011 | Not applicable |
Other Recommended Reading
| AA | Other Recommended Reading |
|---|---|
| I-MARO-011 | P. Lacomme, C. Prins & M. Sevaux Algorithmes de graphes, Editions Eyrolles, 2003. J. Dréo, A. Pétrowski, P. Siarry & E. taillard Métaheuristiques pour l'optimisation difficile, Editions Eyrolles, 2003. |
Grade Deferrals of AAs from one year to the next
| AA | Grade Deferrals of AAs from one year to the next |
|---|---|
| I-MARO-011 | Authorized |
Term 1 Assessment - type
| AA | Type(s) and mode(s) of Q1 assessment |
|---|---|
| I-MARO-011 |
|
Term 1 Assessment - comments
| AA | Term 1 Assessment - comments |
|---|---|
| I-MARO-011 | The report and the presentation of the projet/challenge (part of the AA) accounting for 20% of the evaluation. The absence at the presentation of the project/challenge (and/or not submitting the report) implies an absence on the whole of the UE. Written examination in person covering both parts of the course: Graph theory : (theory and exercises) 40% Combinatorial optimization : (theory and exercises) 40%. The evaluation procedures are likely to be adjusted according to the educational/assessment context imposed by health measures. |
Resit Assessment - Term 1 (B1BA1) - type
| AA | Type(s) and mode(s) of Q1 resit assessment (BAB1) |
|---|---|
| I-MARO-011 |
|
Term 3 Assessment - type
| AA | Type(s) and mode(s) of Q3 assessment |
|---|---|
| I-MARO-011 |
|
Term 3 Assessment - comments
| AA | Term 3 Assessment - comments |
|---|---|
| I-MARO-011 | The report and the presentation of the projet/challenge (part of the AA) accounting for 20% of the evaluation. The absence at the presentation of the project/challenge (and/or not submitting the report) implies an absence on the whole of the UE. Written examination in person covering both parts of the course: Graph theory : (theory and exercises) 40% Combinatorial optimization : (theory and exercises) 40%. The evaluation procedures are likely to be adjusted according to the educational/assessment context imposed by health measures. |