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Matchings in hypergraphs

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Competition Funded PhD Project (Students Worldwide)
    Competition Funded PhD Project (Students Worldwide)

Project Description

The perfect matching problem for graphs is well understood both from a structural and algorithmic perspective. The situation is quite different for the hypergraph version, which is much more difficult. (Here a hypergraph consists of vertices and hyperedges, each joining several vertices.) In particular, a major open problem is to determine the minimum degree which forces the existence of a perfect matching in a given hypergraph.

The project will investigate this question as well as related problems involving more general structures. Probabilistic methods will play a significant role in the analysis.

Information about the Combinatorics group at the University of Birmingham can be found here: http://www.birmingham.ac.uk/research/activity/mathematics/pure-maths/combinatorics.aspx

To find out more about studying for a PhD at the University of Birmingham, including full details of the research undertaken in each school, the funding opportunities for each subject, and guidance on making your application, you can now order your copy of the new Doctoral Research Prospectus at: http://www.birmingham.ac.uk/students/drp.aspx

Funding Notes

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.

Related Subjects

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)

Click here to see the results for all UK universities

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