QUEEN MARY, UNIVERSITY OF LONDON

MAS417 / MTHM028

Association Schemes and Partially Balanced Designs

Course Material Spring 2006

The examination will be on Thursday 18 May from 1430 to 1730 in Room 326 of the Francis Bancroft Building.

Notice
This material will remain here
until after the examination

Lectures are from 1400 to 1600 on Mondays in Room G2 in the School of Mathematical Sciences. There will be a weekly class, from 1200 to 1300 in the same room.

My office hours are:
Monday0930-1030
Wednesday1300-1400
Friday1330-1430

Apart from the course descriptions, the items below are PDF files; you will need Acrobat Reader to browse or print them.


Course descriptions and course information


Lecture Notes

  1. Definitions of Association Scheme
  2. Adjacency Matrices
  3. Some Special Association Schemes (the notation bi and ci and are interchanged)
  4. The Bose-Mesner Algebra
  5. The main theorem
  6. Character tables
  7. Techniques
  8. Strongly regular graphs
  9. Crossing and nesting
  10. Block designs
  11. Partially Balanced Block Designs
  12. A Little Statistics
  13. Efficiency

Coursework

  1. Assignment 1
  2. Assignment 2
  3. Assignment 3
  4. Assignment 4
  5. Assignment 5

Examination material

Here is a picture of the cube association scheme.

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Page maintained by R. A. Bailey r.a.bailey@qmul.ac.uk

Page updated 20/3/06