MA428      Half Unit
Combinatorial Optimisation

This information is for the 2017/18 session.

Teacher responsible

Dr Katerina Papadaki NAB 3.14

Availability

This course is available on the MSc in Applicable Mathematics and MSc in Operations Research & Analytics. This course is available as an outside option to students on other programmes where regulations permit.

Pre-requisites

Some familiarity with graph theory and some knowledge of linear programming is desirable.

Course content

The course is intended as an introduction to discrete and combinatorial techniques for solving optimisation problems, mainly involving graphs and networks. Topics covered include: minimum spanning trees, with a brief introduction to matroids; shortest path algorithms; maximum flow algorithms; minimum cost flow problems; matching and assignment problems; and other topics that may vary from year to year.

Teaching

20 hours of lectures and 15 hours of seminars in the LT. 3 hours of lectures in the ST.

Formative coursework

Weekly exercises will be given that will be solved and discussed during the seminars. Two of those exercises will be handed in as formative coursework and the students will be given feedback on their submissions.

Indicative reading

Lecture notes will be supplied for most topics; otherwise reading from books will be indicated.

Most of the lectures will be based on topics from: R K Ahuja, T L Maganti and J B Orlin, Network Flows (2013).

Assessment

Exam (100%, duration: 3 hours) in the main exam period.

Key facts

Department: Mathematics

Total students 2016/17: Unavailable

Average class size 2016/17: Unavailable

Controlled access 2016/17: No

Value: Half Unit

Guidelines for interpreting course guide information

Personal development skills

  • Problem solving
  • Application of numeracy skills
  • Specialist skills