Information for Postgraduate Students

 

 

Research in graph theory and design theory is being undertaken by mathematicians around the world, and many interesting unsolved problems are under investigation. I collaborate with colleagues in the USA, UK and Canada. Numerous topics on graph decomposition problems are available for interested students. These include problems involving Steiner triple systems, graph decompositions, Hamilton cycles, embedding problems and perfect factorisations.

 

Topics in these areas are available for PhD, Honours and Masters students and for Vacation Scholars. If you have your own topic or interest, feel free to discuss it with me. 

 

Scholarships and/or Scholarship top-ups are available for projects in certain areas.

 

For more details of my research, you may wish to look at my publication list.

 

Information on postgraduate programs, enrolment, scholarships, etc can be accessed from the School of Mathematics and Phyics Homepage, and information on scholarships in particular can be accessed at the UQ scholarships website.

 

Current PhD Students:

 

William Pettersson

Decomposing complete graphs into cycles of given lengths

 

Past Phd Students:

 

Geoff Martin (graduated 2011)

Some results on decompositions of circulant graphs and embeddings of partial cycle systems.

 

Robert Brier (graduated 2008)

Topics in graph decompositions and related algebras.

 

Daniel Horsley (graduated 2008)

Some results on Steiner Triple Systems and Cycle Decompositions.

 

Melinda Buchanan (graduated 2007)

Embedding, existence and completion problems for Latin squares.

 

Matt Dean (graduated 2006)

On Hamilton cycles and Hamilton cycle decompositions of graphs based on groups.