Decompositions of large graphs into small subgraphs
Prof D Kuhn
Prof D Osthus
Applications accepted all year round
Competition Funded PhD Project (Students Worldwide)
The starting point for the project is the following natural question:
When can the edges of a large `host’ graph G be decomposed into copies of a fixed small graph F? The case when G is complete and F is a triangle corresponds to the famous Kirkman schoolgirl problem. More generally, the case when the host graph G is
complete is well understood. However, much less in known for incomplete host graphs.
Recently major progress been made, involving approaches based on fractional relaxations, Szemeredi’s regularity lemma, as well as probabilistic methods.
The project will build on the above ideas to make further progress on decomposition problems of the type described above.
Some information about Combinatorics at Birmingham is available here:
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This research project is one of a number of projects in the School of Mathematics. It is in competition for funding with one or more of our advertised PhD projects. Usually the project which receives the best applicant will be awarded supported.
Normally scholarships are only available to UK or EU citizens. Other nationals who are normally resident in the UK or those who have been resident in the UK for a period of 3 years or more are also eligible.
All students with the correct qualifications and access to independent funding are also welcome to apply.
How good is research at University of Birmingham in Mathematical Sciences?
FTE Category A staff submitted: 40.00
Research output data provided by the Research Excellence Framework (REF)
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