Combinatorics and Model Theory

The interests of the Combinatorics and Model Theory research group include the following topics.

• Graph theory: total, fractional, and star colourings of graphs; well-quasi-ordering; degree-diameter problem and cages
• Combinatorial designs: automorphisms and embeddings; infinite designs
• Latin squares
• Pattern-avoiding permutations and their connection with graph theory
• Theory of symmetric maps on surfaces
• Optimal network design
• Automorphism groups of combinatorial objects

The Group holds the one-day OU Winter Combinatorics Meeting in January every few years.