Graph Theory

**This information is for the 2019/20 session.**

**Teacher responsible**

Dr Rachel Kirsch

**Availability**

This course is available on the BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics, and Business. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.

**Pre-requisites**

MA103 or equivalent course giving a background in rigorous mathematics.

**Course content**

This course examines the basic concepts and techniques of graph theory. The topics to be covered are: fundamental concepts, connectivity and matchings, colourings, extremal problems. Optional topics include flows, Ramsey theory, the probabilistic method, spectral graph theory, or matroids.

**Teaching**

20 hours of lectures and 10 hours of classes in the MT. 1 hour of lectures in the ST.

Revision Lecture is better received by students in ST

**Formative coursework**

Written answers to set problems will be expected on a weekly basis.

**Indicative reading**

D. B. West, *Introduction to Graph Theory*, Prentice Hall 2001

R. Diestel, *Graph Theory*, Springer 2010.

N. L. Biggs, *Discrete Mathematics*, OUP 2004

J.A.Bondy and U.S.R. Murty, *Graph Theory with Applications*, North-Holland, 1976

B. Bollobas, *Modern Graph Theory*, Springer 1998.

**Assessment**

Exam (100%, duration: 2 hours) in the summer exam period.

**
Key facts
**

Department: Mathematics

Total students 2018/19: 9

Average class size 2018/19: 9

Capped 2018/19: No

Value: Half Unit

**Personal development skills**

- Self-management
- Problem solving
- Application of information skills
- Communication
- Application of numeracy skills
- Specialist skills