Combinatorial Catalogues

One of my main research interests is producing catalogues of interesting combinatorial objects, such as graphs, designs, geometries and so on.

Graphs

• Small graphs
• Small multigraphs
• Cubic graphs
• Symmetric cubic graphs (Foster Census)
• Vertex-transitive graphs
• Cayley graphs (by group)
• Vertex-transitive cubic graphs
• Cubic Cages and higher valency cages
• Planar graphs
• Cubic Planar graphs (drawings!)
• Strongly regular graphs (parameters)
• Self-Complementary Graphs
• Constructions of Certain Graphs
• Regular graphs (coming)
• Other goodies (coming)

Geometries

• Projective planes of order 16
• Translation planes of order 49
• Translation planes (coming)
• Sets of type (m,n) (coming)
• Other goodies (coming)

Designs

• Small designs
• Biplanes

Groups

• Numbers of small groups
• Generators of small groups