[Cherubino] Quaderni Elettronici del Seminario di Geometria Combinatoria 18E (Marzo 2005), 1--27
Università degli Studi di Roma "La Sapienza" - Dipartimento di Matematica

Rosemary A. BAILEY
Association Schemes: a Short Course
(Marzo 2005)

Abstract. These are the notes for a four week course held in Rome in February-March 2005. The syllabus was:

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.

Rosemary A. Bailey
School of Mathematical Sciences
Queen Mary, University of London
Mile End Road
London E1 4NS
e-mail: r.a.bailey@qmul.ac.uk

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