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Combinatorics

Combinatorics image showing waterways on a drawing of a town

The interests of the Combinatorics Research Group include:

  • 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 a one day OU Winter Combinatorics Meeting each January.