Association Schemes
Rosemary A. Bailey, Queen Mary, University of London
Week 1
What association schemes are: definitions and examples, including
distance-regular graphs, Hamming schemes, and schemes based on Abelian
groups. Creating new association schemes as products of two smaller
schemes.
Week 2
The Bose-Mesner algebra, including the character table. Applications to
parameters of strongly regular graphs.
Week 3
Partially balanced incomplete block designs, including the statistician's
view of what a block design is and topics such as the variance of the
estimator of the difference between two treatments.
Week 4
Orthogonal block structures, including those based on (a) groups and
subgroups (b) partially ordered sets.