MA314-7-SP-CO:
Graph Theory
2022/23
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Spring
Postgraduate: Level 7
Current
Monday 16 January 2023
Friday 24 March 2023
15
04 May 2022
Requisites for this module
(none)
(none)
(none)
(none)
(none)
This module introduces graph theory and some key definitions, proofs and proof techniques associated with graph theory. It is distinguished from the undergraduate version of the module by greater emphasis on the concept of proof.
1. To introduce students to basic definitions and results of graph theory.
2. To develop students’ advanced understanding of some main proofs in graph theory.
3. To develop understanding of how to apply such results in particular problems at an advanced level.
1. Give basic graph theoretic definitions.
2. Prove basic results in the theory of graphs.
3. Show critical understanding of some results about matchings (Hall’s theorem and equivalent results).
4. Have critical understanding of some basic results about Hamilton cycles.
5. Have experience of problems connected with chromatic number, and know basic theory and how to apply it.
6. Have critical understanding of extremal graph theory, Ramsey theory and the theory of random graphs.
7. Advanced understanding of proofs of key theorems in the theory of graphs.
TTeaching in the department will be delivered using a range of face to face lectures, classes and lab sessions as appropriate for each module. Modules may also include online only sessions where it is advantageous, for example for pedagogical reasons, to do so.
Teaching will be delivered in a way that blends face-to-face classes, for those students that can be present on campus, with a range of online lectures, teaching, learning and collaborative support.
Specific to the PGT students there will be additional lectures emphasising proof.
Students having issues with the module are encouraged to talk to the module supervisor during office hours/open-door policy.
This module does not appear to have a published bibliography for this year.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Exam |
Main exam: In-Person, Closed Book, 120 minutes during Summer (Main Period)
|
| Exam |
Reassessment Main exam: In-Person, Closed Book, 120 minutes during September (Reassessment Period)
|
Additional coursework information
Formative problem sheets will be provided, and discussed in some of the lectures.
Exam format definitions
- Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
- In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
- In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
- In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary,
for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.
Your department will provide further guidance before your exams.
Overall assessment
Reassessment
Module supervisor and teaching staff
Dr Alexei Vernitski, email: asvern@essex.ac.uk.
Dr Alexei Vernitski
dbpenman@essex.ac.uk
No
No
No
Prof Stephen Langdon
Brunel University London
Professor
Dr Rachel Quinlan
National University of Ireland, Galway
Senior Lecturer in Mathematics
Available via Moodle
Of 38 hours, 28 (73.7%) hours available to students:
10 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s), module, or event type.
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